What is the Least Common Multiple of 89204 and 89208?

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 89204 and 89208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89204 and 89208, than apply into the LCM equation.

GCF(89204,89208) = 4
LCM(89204,89208) = ( 89204 × 89208) / 4
LCM(89204,89208) = 7957710432 / 4
LCM(89204,89208) = 1989427608

Least Common Multiple (LCM) of 89204 and 89208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89204 and 89208. First we will calculate the prime factors of 89204 and 89208.

Prime Factorization of 89204

Prime Factorization of 89208

Now multiplying the highest exponent prime factors to calculate the LCM of 89204 and 89208.

LCM(89204,89208) = 2³ × 29¹ × 769¹ × 3³ × 7¹ × 59¹
LCM(89204,89208) = 1989427608