What is the Least Common Multiple of 88644 and 88658?

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 88658 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 88658, than apply into the LCM equation.

GCF(88644,88658) = 2
LCM(88644,88658) = ( 88644 × 88658) / 2
LCM(88644,88658) = 7858999752 / 2
LCM(88644,88658) = 3929499876

Least Common Multiple (LCM) of 88644 and 88658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88644 and 88658. First we will calculate the prime factors of 88644 and 88658.

Prime Factorization of 88644

Prime Factorization of 88658

Now multiplying the highest exponent prime factors to calculate the LCM of 88644 and 88658.

LCM(88644,88658) = 2² × 3¹ × 83¹ × 89¹ × 97¹ × 457¹
LCM(88644,88658) = 3929499876