What is the Least Common Multiple of 88716 and 88732?

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 88716 and 88732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88716 and 88732, than apply into the LCM equation.

GCF(88716,88732) = 4
LCM(88716,88732) = ( 88716 × 88732) / 4
LCM(88716,88732) = 7871948112 / 4
LCM(88716,88732) = 1967987028

Least Common Multiple (LCM) of 88716 and 88732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88716 and 88732. First we will calculate the prime factors of 88716 and 88732.

Prime Factorization of 88716

Prime Factorization of 88732

Now multiplying the highest exponent prime factors to calculate the LCM of 88716 and 88732.

LCM(88716,88732) = 2² × 3¹ × 7393¹ × 7¹ × 3169¹
LCM(88716,88732) = 1967987028