What is the Least Common Multiple of 18956 and 18974?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 18956 and 18974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18956 and 18974, than apply into the LCM equation.

GCF(18956,18974) = 2
LCM(18956,18974) = ( 18956 × 18974) / 2
LCM(18956,18974) = 359671144 / 2
LCM(18956,18974) = 179835572

Least Common Multiple (LCM) of 18956 and 18974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18956 and 18974. First we will calculate the prime factors of 18956 and 18974.

Prime Factorization of 18956

Prime Factorization of 18974

Now multiplying the highest exponent prime factors to calculate the LCM of 18956 and 18974.

LCM(18956,18974) = 2² × 7¹ × 677¹ × 53¹ × 179¹
LCM(18956,18974) = 179835572