LCM Calculator

Find the least common multiple of two or more integers.

LCM Calculator

Formula

LCM from page inputs

Uses the live LCM method for the entered integers.

This LCM calculator finds the least common multiple of the integers on the page. Use it for adding fractions or aligning repeating schedules.

GCF and LCM relate through product identities for two positive integers. Compute GCF with the GCF calculator and compare factor lists on the common factor calculator.

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Frequently Asked Questions

What does the default example show?

a=12, b=18, c=0 returns LCM 36.

What does c=0 mean?

The optional third number is unused, so the tool returns LCM(12, 18) only.

How does GCF enter the formula?

LCM(a,b) = |a*b| / GCF(a,b). For 12 and 18, GCF is 6, so |216|/6 = 36.

Is LCM always larger than both numbers?

For positive integers it is at least as large as each input. It equals a number when one divides the other.

Can I compute GCF on Multicalify?

Yes. Use the GCF calculator to inspect the divisor step beside this LCM page.

Does prime factorization help?

Yes. Take highest powers of shared primes. A factor calculator helps list building blocks.

What about negative inputs?

LCM is usually discussed for positive integers. Absolute values keep the product step well defined in the formula shown.

When is LCM used in school?

Adding fractions with unlike denominators and scheduling problems that repeat on cycles both use LCM ideas.