What is the Least Common Multiple of 18957 and 18971?

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 18957 and 18971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18957 and 18971, than apply into the LCM equation.

GCF(18957,18971) = 1
LCM(18957,18971) = ( 18957 × 18971) / 1
LCM(18957,18971) = 359633247 / 1
LCM(18957,18971) = 359633247

Least Common Multiple (LCM) of 18957 and 18971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18957 and 18971. First we will calculate the prime factors of 18957 and 18971.

Prime Factorization of 18957

Prime Factorization of 18971

Now multiplying the highest exponent prime factors to calculate the LCM of 18957 and 18971.

LCM(18957,18971) = 3¹ × 71¹ × 89¹ × 61¹ × 311¹
LCM(18957,18971) = 359633247