What is the Least Common Multiple of 44645 and 44652?

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 44645 and 44652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44645 and 44652, than apply into the LCM equation.

GCF(44645,44652) = 1
LCM(44645,44652) = ( 44645 × 44652) / 1
LCM(44645,44652) = 1993488540 / 1
LCM(44645,44652) = 1993488540

Least Common Multiple (LCM) of 44645 and 44652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44645 and 44652. First we will calculate the prime factors of 44645 and 44652.

Prime Factorization of 44645

Prime Factorization of 44652

Now multiplying the highest exponent prime factors to calculate the LCM of 44645 and 44652.

LCM(44645,44652) = 5¹ × 8929¹ × 2² × 3¹ × 61²
LCM(44645,44652) = 1993488540