What is the Least Common Multiple of 87312 and 87330?

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 87312 and 87330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87312 and 87330, than apply into the LCM equation.

GCF(87312,87330) = 6
LCM(87312,87330) = ( 87312 × 87330) / 6
LCM(87312,87330) = 7624956960 / 6
LCM(87312,87330) = 1270826160

Least Common Multiple (LCM) of 87312 and 87330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87312 and 87330. First we will calculate the prime factors of 87312 and 87330.

Prime Factorization of 87312

Prime Factorization of 87330

Now multiplying the highest exponent prime factors to calculate the LCM of 87312 and 87330.

LCM(87312,87330) = 2⁴ × 3¹ × 17¹ × 107¹ × 5¹ × 41¹ × 71¹
LCM(87312,87330) = 1270826160