What is the Least Common Multiple of 44652 and 44659?

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 44659 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 44659, than apply into the LCM equation.

GCF(44652,44659) = 1
LCM(44652,44659) = ( 44652 × 44659) / 1
LCM(44652,44659) = 1994113668 / 1
LCM(44652,44659) = 1994113668

Least Common Multiple (LCM) of 44652 and 44659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44652 and 44659. First we will calculate the prime factors of 44652 and 44659.

Prime Factorization of 44652

Prime Factorization of 44659

Now multiplying the highest exponent prime factors to calculate the LCM of 44652 and 44659.

LCM(44652,44659) = 2² × 3¹ × 61² × 17¹ × 37¹ × 71¹
LCM(44652,44659) = 1994113668