What is the Least Common Multiple of 87315 and 87334?

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 87315 and 87334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87315 and 87334, than apply into the LCM equation.

GCF(87315,87334) = 1
LCM(87315,87334) = ( 87315 × 87334) / 1
LCM(87315,87334) = 7625568210 / 1
LCM(87315,87334) = 7625568210

Least Common Multiple (LCM) of 87315 and 87334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87315 and 87334. First we will calculate the prime factors of 87315 and 87334.

Prime Factorization of 87315

Prime Factorization of 87334

Now multiplying the highest exponent prime factors to calculate the LCM of 87315 and 87334.

LCM(87315,87334) = 3¹ × 5¹ × 5821¹ × 2¹ × 13¹ × 3359¹
LCM(87315,87334) = 7625568210