What is the Least Common Multiple of 89136 and 89154?

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 89136 and 89154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89136 and 89154, than apply into the LCM equation.

GCF(89136,89154) = 18
LCM(89136,89154) = ( 89136 × 89154) / 18
LCM(89136,89154) = 7946830944 / 18
LCM(89136,89154) = 441490608

Least Common Multiple (LCM) of 89136 and 89154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89136 and 89154. First we will calculate the prime factors of 89136 and 89154.

Prime Factorization of 89136

Prime Factorization of 89154

Now multiplying the highest exponent prime factors to calculate the LCM of 89136 and 89154.

LCM(89136,89154) = 2⁴ × 3³ × 619¹ × 13¹ × 127¹
LCM(89136,89154) = 441490608