What is the Least Common Multiple of 18964 and 18968?

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 18964 and 18968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18964 and 18968, than apply into the LCM equation.

GCF(18964,18968) = 4
LCM(18964,18968) = ( 18964 × 18968) / 4
LCM(18964,18968) = 359709152 / 4
LCM(18964,18968) = 89927288

Least Common Multiple (LCM) of 18964 and 18968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18964 and 18968. First we will calculate the prime factors of 18964 and 18968.

Prime Factorization of 18964

Prime Factorization of 18968

Now multiplying the highest exponent prime factors to calculate the LCM of 18964 and 18968.

LCM(18964,18968) = 2³ × 11¹ × 431¹ × 2371¹
LCM(18964,18968) = 89927288