LCM LCM Calculator (Least Common Multiple)

LCM Result

What is LCM (Least Common Multiple)?

The Least Common Multiple (LCM) is the smallest positive integer that is divisible by two or more given numbers.

LCM(4, 6) = 12
Because 12 is the smallest number divisible by both 4 and 6.

Relationship Between LCM and GCD

LCM(a, b) = (a × b) / GCD(a, b)

LCM Applications

  • Adding and subtracting fractions with different denominators
  • Scheduling problems (when two events coincide)
  • Finding patterns in number sequences

Frequently Asked Questions

What is LCM of 4 and 6? ▼
LCM(4, 6) = 12. Multiples of 4: 4, 8, 12, 16... Multiples of 6: 6, 12, 18... The first common multiple is 12.
What is LCM of 12 and 18? ▼
LCM(12, 18) = 36. Using the formula: LCM = (12 × 18) / GCD(12, 18) = 216 / 6 = 36.
How is LCM used in fractions? ▼
LCM is used to find the common denominator when adding or subtracting fractions. For example, to add 1/4 + 1/6, find LCM(4,6) = 12, then convert: 3/12 + 2/12 = 5/12.