What is the Least Common Multiple of 89530 and 89544?

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 89530 and 89544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89530 and 89544, than apply into the LCM equation.

GCF(89530,89544) = 14
LCM(89530,89544) = ( 89530 × 89544) / 14
LCM(89530,89544) = 8016874320 / 14
LCM(89530,89544) = 572633880

Least Common Multiple (LCM) of 89530 and 89544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89530 and 89544. First we will calculate the prime factors of 89530 and 89544.

Prime Factorization of 89530

Prime Factorization of 89544

Now multiplying the highest exponent prime factors to calculate the LCM of 89530 and 89544.

LCM(89530,89544) = 2³ × 5¹ × 7¹ × 1279¹ × 3¹ × 13¹ × 41¹
LCM(89530,89544) = 572633880