What is the Least Common Multiple of 87160 and 87165?

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 87160 and 87165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87160 and 87165, than apply into the LCM equation.

GCF(87160,87165) = 5
LCM(87160,87165) = ( 87160 × 87165) / 5
LCM(87160,87165) = 7597301400 / 5
LCM(87160,87165) = 1519460280

Least Common Multiple (LCM) of 87160 and 87165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87160 and 87165. First we will calculate the prime factors of 87160 and 87165.

Prime Factorization of 87160

Prime Factorization of 87165

Now multiplying the highest exponent prime factors to calculate the LCM of 87160 and 87165.

LCM(87160,87165) = 2³ × 5¹ × 2179¹ × 3² × 13¹ × 149¹
LCM(87160,87165) = 1519460280