What is the Least Common Multiple of 44360 and 44372?

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 44360 and 44372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44360 and 44372, than apply into the LCM equation.

GCF(44360,44372) = 4
LCM(44360,44372) = ( 44360 × 44372) / 4
LCM(44360,44372) = 1968341920 / 4
LCM(44360,44372) = 492085480

Least Common Multiple (LCM) of 44360 and 44372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44360 and 44372. First we will calculate the prime factors of 44360 and 44372.

Prime Factorization of 44360

Prime Factorization of 44372

Now multiplying the highest exponent prime factors to calculate the LCM of 44360 and 44372.

LCM(44360,44372) = 2³ × 5¹ × 1109¹ × 11093¹
LCM(44360,44372) = 492085480