What is the Least Common Multiple of 89154 and 89172?

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 89154 and 89172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89154 and 89172, than apply into the LCM equation.

GCF(89154,89172) = 18
LCM(89154,89172) = ( 89154 × 89172) / 18
LCM(89154,89172) = 7950040488 / 18
LCM(89154,89172) = 441668916

Least Common Multiple (LCM) of 89154 and 89172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89154 and 89172. First we will calculate the prime factors of 89154 and 89172.

Prime Factorization of 89154

Prime Factorization of 89172

Now multiplying the highest exponent prime factors to calculate the LCM of 89154 and 89172.

LCM(89154,89172) = 2² × 3³ × 13¹ × 127¹ × 2477¹
LCM(89154,89172) = 441668916