What is the Least Common Multiple of 86952 and 86967?

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 86952 and 86967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86952 and 86967, than apply into the LCM equation.

GCF(86952,86967) = 3
LCM(86952,86967) = ( 86952 × 86967) / 3
LCM(86952,86967) = 7561954584 / 3
LCM(86952,86967) = 2520651528

Least Common Multiple (LCM) of 86952 and 86967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86952 and 86967. First we will calculate the prime factors of 86952 and 86967.

Prime Factorization of 86952

Prime Factorization of 86967

Now multiplying the highest exponent prime factors to calculate the LCM of 86952 and 86967.

LCM(86952,86967) = 2³ × 3³ × 3623¹ × 3221¹
LCM(86952,86967) = 2520651528