What is the Least Common Multiple of 87816 and 87820?

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 87816 and 87820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87816 and 87820, than apply into the LCM equation.

GCF(87816,87820) = 4
LCM(87816,87820) = ( 87816 × 87820) / 4
LCM(87816,87820) = 7712001120 / 4
LCM(87816,87820) = 1928000280

Least Common Multiple (LCM) of 87816 and 87820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87816 and 87820. First we will calculate the prime factors of 87816 and 87820.

Prime Factorization of 87816

Prime Factorization of 87820

Now multiplying the highest exponent prime factors to calculate the LCM of 87816 and 87820.

LCM(87816,87820) = 2³ × 3¹ × 3659¹ × 5¹ × 4391¹
LCM(87816,87820) = 1928000280