What is the Least Common Multiple of 89004 and 89022?

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 89004 and 89022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89004 and 89022, than apply into the LCM equation.

GCF(89004,89022) = 6
LCM(89004,89022) = ( 89004 × 89022) / 6
LCM(89004,89022) = 7923314088 / 6
LCM(89004,89022) = 1320552348

Least Common Multiple (LCM) of 89004 and 89022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89004 and 89022. First we will calculate the prime factors of 89004 and 89022.

Prime Factorization of 89004

Prime Factorization of 89022

Now multiplying the highest exponent prime factors to calculate the LCM of 89004 and 89022.

LCM(89004,89022) = 2² × 3¹ × 7417¹ × 37¹ × 401¹
LCM(89004,89022) = 1320552348