What is the Least Common Multiple of 88644 and 88653?

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 88644 and 88653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88644 and 88653, than apply into the LCM equation.

GCF(88644,88653) = 3
LCM(88644,88653) = ( 88644 × 88653) / 3
LCM(88644,88653) = 7858556532 / 3
LCM(88644,88653) = 2619518844

Least Common Multiple (LCM) of 88644 and 88653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88644 and 88653. First we will calculate the prime factors of 88644 and 88653.

Prime Factorization of 88644

Prime Factorization of 88653

Now multiplying the highest exponent prime factors to calculate the LCM of 88644 and 88653.

LCM(88644,88653) = 2² × 3¹ × 83¹ × 89¹ × 29¹ × 1019¹
LCM(88644,88653) = 2619518844