What is the Least Common Multiple of 89140 and 89158?

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 89140 and 89158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89140 and 89158, than apply into the LCM equation.

GCF(89140,89158) = 2
LCM(89140,89158) = ( 89140 × 89158) / 2
LCM(89140,89158) = 7947544120 / 2
LCM(89140,89158) = 3973772060

Least Common Multiple (LCM) of 89140 and 89158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89140 and 89158. First we will calculate the prime factors of 89140 and 89158.

Prime Factorization of 89140

Prime Factorization of 89158

Now multiplying the highest exponent prime factors to calculate the LCM of 89140 and 89158.

LCM(89140,89158) = 2² × 5¹ × 4457¹ × 44579¹
LCM(89140,89158) = 3973772060