What is the Least Common Multiple of 44685 and 44700?

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 44685 and 44700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44685 and 44700, than apply into the LCM equation.

GCF(44685,44700) = 15
LCM(44685,44700) = ( 44685 × 44700) / 15
LCM(44685,44700) = 1997419500 / 15
LCM(44685,44700) = 133161300

Least Common Multiple (LCM) of 44685 and 44700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44685 and 44700. First we will calculate the prime factors of 44685 and 44700.

Prime Factorization of 44685

Prime Factorization of 44700

Now multiplying the highest exponent prime factors to calculate the LCM of 44685 and 44700.

LCM(44685,44700) = 3³ × 5² × 331¹ × 2² × 149¹
LCM(44685,44700) = 133161300