What is the Least Common Multiple of 87152 and 87158?

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 87152 and 87158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87152 and 87158, than apply into the LCM equation.

GCF(87152,87158) = 2
LCM(87152,87158) = ( 87152 × 87158) / 2
LCM(87152,87158) = 7595994016 / 2
LCM(87152,87158) = 3797997008

Least Common Multiple (LCM) of 87152 and 87158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87152 and 87158. First we will calculate the prime factors of 87152 and 87158.

Prime Factorization of 87152

Prime Factorization of 87158

Now multiplying the highest exponent prime factors to calculate the LCM of 87152 and 87158.

LCM(87152,87158) = 2⁴ × 13¹ × 419¹ × 43579¹
LCM(87152,87158) = 3797997008