What is the Least Common Multiple of 44652 and 44668?

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 44652 and 44668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44652 and 44668, than apply into the LCM equation.

GCF(44652,44668) = 4
LCM(44652,44668) = ( 44652 × 44668) / 4
LCM(44652,44668) = 1994515536 / 4
LCM(44652,44668) = 498628884

Least Common Multiple (LCM) of 44652 and 44668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44652 and 44668. First we will calculate the prime factors of 44652 and 44668.

Prime Factorization of 44652

Prime Factorization of 44668

Now multiplying the highest exponent prime factors to calculate the LCM of 44652 and 44668.

LCM(44652,44668) = 2² × 3¹ × 61² × 13¹ × 859¹
LCM(44652,44668) = 498628884