What is the Least Common Multiple of 88015 and 88032?

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 88015 and 88032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88015 and 88032, than apply into the LCM equation.

GCF(88015,88032) = 1
LCM(88015,88032) = ( 88015 × 88032) / 1
LCM(88015,88032) = 7748136480 / 1
LCM(88015,88032) = 7748136480

Least Common Multiple (LCM) of 88015 and 88032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88015 and 88032. First we will calculate the prime factors of 88015 and 88032.

Prime Factorization of 88015

Prime Factorization of 88032

Now multiplying the highest exponent prime factors to calculate the LCM of 88015 and 88032.

LCM(88015,88032) = 5¹ × 29¹ × 607¹ × 2⁵ × 3¹ × 7¹ × 131¹
LCM(88015,88032) = 7748136480