What is the Least Common Multiple of 88966 and 88971?

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 88966 and 88971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88966 and 88971, than apply into the LCM equation.

GCF(88966,88971) = 1
LCM(88966,88971) = ( 88966 × 88971) / 1
LCM(88966,88971) = 7915393986 / 1
LCM(88966,88971) = 7915393986

Least Common Multiple (LCM) of 88966 and 88971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88966 and 88971. First we will calculate the prime factors of 88966 and 88971.

Prime Factorization of 88966

Prime Factorization of 88971

Now multiplying the highest exponent prime factors to calculate the LCM of 88966 and 88971.

LCM(88966,88971) = 2¹ × 44483¹ × 3¹ × 47¹ × 631¹
LCM(88966,88971) = 7915393986