What is the Least Common Multiple of 44300 and 44312?

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 44300 and 44312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44300 and 44312, than apply into the LCM equation.

GCF(44300,44312) = 4
LCM(44300,44312) = ( 44300 × 44312) / 4
LCM(44300,44312) = 1963021600 / 4
LCM(44300,44312) = 490755400

Least Common Multiple (LCM) of 44300 and 44312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44300 and 44312. First we will calculate the prime factors of 44300 and 44312.

Prime Factorization of 44300

Prime Factorization of 44312

Now multiplying the highest exponent prime factors to calculate the LCM of 44300 and 44312.

LCM(44300,44312) = 2³ × 5² × 443¹ × 29¹ × 191¹
LCM(44300,44312) = 490755400