What is the Least Common Multiple of 88364 and 88379?

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 88364 and 88379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88364 and 88379, than apply into the LCM equation.

GCF(88364,88379) = 1
LCM(88364,88379) = ( 88364 × 88379) / 1
LCM(88364,88379) = 7809521956 / 1
LCM(88364,88379) = 7809521956

Least Common Multiple (LCM) of 88364 and 88379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88364 and 88379. First we will calculate the prime factors of 88364 and 88379.

Prime Factorization of 88364

Prime Factorization of 88379

Now multiplying the highest exponent prime factors to calculate the LCM of 88364 and 88379.

LCM(88364,88379) = 2² × 22091¹ × 88379¹
LCM(88364,88379) = 7809521956