What is the Least Common Multiple of 88596 and 88615?

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 88596 and 88615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88596 and 88615, than apply into the LCM equation.

GCF(88596,88615) = 1
LCM(88596,88615) = ( 88596 × 88615) / 1
LCM(88596,88615) = 7850934540 / 1
LCM(88596,88615) = 7850934540

Least Common Multiple (LCM) of 88596 and 88615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88596 and 88615. First we will calculate the prime factors of 88596 and 88615.

Prime Factorization of 88596

Prime Factorization of 88615

Now multiplying the highest exponent prime factors to calculate the LCM of 88596 and 88615.

LCM(88596,88615) = 2² × 3² × 23¹ × 107¹ × 5¹ × 37¹ × 479¹
LCM(88596,88615) = 7850934540