What is the Least Common Multiple of 87795 and 87810?

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 87795 and 87810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87795 and 87810, than apply into the LCM equation.

GCF(87795,87810) = 15
LCM(87795,87810) = ( 87795 × 87810) / 15
LCM(87795,87810) = 7709278950 / 15
LCM(87795,87810) = 513951930

Least Common Multiple (LCM) of 87795 and 87810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87795 and 87810. First we will calculate the prime factors of 87795 and 87810.

Prime Factorization of 87795

Prime Factorization of 87810

Now multiplying the highest exponent prime factors to calculate the LCM of 87795 and 87810.

LCM(87795,87810) = 3² × 5¹ × 1951¹ × 2¹ × 2927¹
LCM(87795,87810) = 513951930