What is the Least Common Multiple of 87138 and 87151?

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 87138 and 87151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87138 and 87151, than apply into the LCM equation.

GCF(87138,87151) = 1
LCM(87138,87151) = ( 87138 × 87151) / 1
LCM(87138,87151) = 7594163838 / 1
LCM(87138,87151) = 7594163838

Least Common Multiple (LCM) of 87138 and 87151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87138 and 87151. First we will calculate the prime factors of 87138 and 87151.

Prime Factorization of 87138

Prime Factorization of 87151

Now multiplying the highest exponent prime factors to calculate the LCM of 87138 and 87151.

LCM(87138,87151) = 2¹ × 3² × 47¹ × 103¹ × 87151¹
LCM(87138,87151) = 7594163838