What is the Least Common Multiple of 89592 and 89603?

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 89592 and 89603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89592 and 89603, than apply into the LCM equation.

GCF(89592,89603) = 1
LCM(89592,89603) = ( 89592 × 89603) / 1
LCM(89592,89603) = 8027711976 / 1
LCM(89592,89603) = 8027711976

Least Common Multiple (LCM) of 89592 and 89603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89592 and 89603. First we will calculate the prime factors of 89592 and 89603.

Prime Factorization of 89592

Prime Factorization of 89603

Now multiplying the highest exponent prime factors to calculate the LCM of 89592 and 89603.

LCM(89592,89603) = 2³ × 3¹ × 3733¹ × 89603¹
LCM(89592,89603) = 8027711976