What is the Least Common Multiple of 89544 and 89556?

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 89544 and 89556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89544 and 89556, than apply into the LCM equation.

GCF(89544,89556) = 12
LCM(89544,89556) = ( 89544 × 89556) / 12
LCM(89544,89556) = 8019202464 / 12
LCM(89544,89556) = 668266872

Least Common Multiple (LCM) of 89544 and 89556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89544 and 89556. First we will calculate the prime factors of 89544 and 89556.

Prime Factorization of 89544

Prime Factorization of 89556

Now multiplying the highest exponent prime factors to calculate the LCM of 89544 and 89556.

LCM(89544,89556) = 2³ × 3¹ × 7¹ × 13¹ × 41¹ × 17¹ × 439¹
LCM(89544,89556) = 668266872