What is the Least Common Multiple of 44700 and 44709?

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 44700 and 44709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44700 and 44709, than apply into the LCM equation.

GCF(44700,44709) = 3
LCM(44700,44709) = ( 44700 × 44709) / 3
LCM(44700,44709) = 1998492300 / 3
LCM(44700,44709) = 666164100

Least Common Multiple (LCM) of 44700 and 44709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44700 and 44709. First we will calculate the prime factors of 44700 and 44709.

Prime Factorization of 44700

Prime Factorization of 44709

Now multiplying the highest exponent prime factors to calculate the LCM of 44700 and 44709.

LCM(44700,44709) = 2² × 3¹ × 5² × 149¹ × 7¹ × 2129¹
LCM(44700,44709) = 666164100