What is the Least Common Multiple of 44676 and 44693?

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 44676 and 44693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44676 and 44693, than apply into the LCM equation.

GCF(44676,44693) = 17
LCM(44676,44693) = ( 44676 × 44693) / 17
LCM(44676,44693) = 1996704468 / 17
LCM(44676,44693) = 117453204

Least Common Multiple (LCM) of 44676 and 44693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44676 and 44693. First we will calculate the prime factors of 44676 and 44693.

Prime Factorization of 44676

Prime Factorization of 44693

Now multiplying the highest exponent prime factors to calculate the LCM of 44676 and 44693.

LCM(44676,44693) = 2² × 3² × 17¹ × 73¹ × 11¹ × 239¹
LCM(44676,44693) = 117453204