What is the Least Common Multiple of 87309 and 87315?

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 87309 and 87315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87309 and 87315, than apply into the LCM equation.

GCF(87309,87315) = 3
LCM(87309,87315) = ( 87309 × 87315) / 3
LCM(87309,87315) = 7623385335 / 3
LCM(87309,87315) = 2541128445

Least Common Multiple (LCM) of 87309 and 87315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87309 and 87315. First we will calculate the prime factors of 87309 and 87315.

Prime Factorization of 87309

Prime Factorization of 87315

Now multiplying the highest exponent prime factors to calculate the LCM of 87309 and 87315.

LCM(87309,87315) = 3² × 89¹ × 109¹ × 5¹ × 5821¹
LCM(87309,87315) = 2541128445