What is the Least Common Multiple of 87318 and 87324?

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 87318 and 87324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87318 and 87324, than apply into the LCM equation.

GCF(87318,87324) = 6
LCM(87318,87324) = ( 87318 × 87324) / 6
LCM(87318,87324) = 7624957032 / 6
LCM(87318,87324) = 1270826172

Least Common Multiple (LCM) of 87318 and 87324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87318 and 87324. First we will calculate the prime factors of 87318 and 87324.

Prime Factorization of 87318

Prime Factorization of 87324

Now multiplying the highest exponent prime factors to calculate the LCM of 87318 and 87324.

LCM(87318,87324) = 2² × 3⁴ × 7² × 11¹ × 19¹ × 383¹
LCM(87318,87324) = 1270826172