What is the Least Common Multiple of 44900 and 44912?

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 44900 and 44912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44900 and 44912, than apply into the LCM equation.

GCF(44900,44912) = 4
LCM(44900,44912) = ( 44900 × 44912) / 4
LCM(44900,44912) = 2016548800 / 4
LCM(44900,44912) = 504137200

Least Common Multiple (LCM) of 44900 and 44912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44900 and 44912. First we will calculate the prime factors of 44900 and 44912.

Prime Factorization of 44900

Prime Factorization of 44912

Now multiplying the highest exponent prime factors to calculate the LCM of 44900 and 44912.

LCM(44900,44912) = 2⁴ × 5² × 449¹ × 7¹ × 401¹
LCM(44900,44912) = 504137200