What is the Least Common Multiple of 87152 and 87160?

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 87160 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 87160, than apply into the LCM equation.

GCF(87152,87160) = 8
LCM(87152,87160) = ( 87152 × 87160) / 8
LCM(87152,87160) = 7596168320 / 8
LCM(87152,87160) = 949521040

Least Common Multiple (LCM) of 87152 and 87160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87152 and 87160. First we will calculate the prime factors of 87152 and 87160.

Prime Factorization of 87152

Prime Factorization of 87160

Now multiplying the highest exponent prime factors to calculate the LCM of 87152 and 87160.

LCM(87152,87160) = 2⁴ × 13¹ × 419¹ × 5¹ × 2179¹
LCM(87152,87160) = 949521040