What is the Least Common Multiple of 44075 and 44080?

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 44075 and 44080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44075 and 44080, than apply into the LCM equation.

GCF(44075,44080) = 5
LCM(44075,44080) = ( 44075 × 44080) / 5
LCM(44075,44080) = 1942826000 / 5
LCM(44075,44080) = 388565200

Least Common Multiple (LCM) of 44075 and 44080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44075 and 44080. First we will calculate the prime factors of 44075 and 44080.

Prime Factorization of 44075

Prime Factorization of 44080

Now multiplying the highest exponent prime factors to calculate the LCM of 44075 and 44080.

LCM(44075,44080) = 5² × 41¹ × 43¹ × 2⁴ × 19¹ × 29¹
LCM(44075,44080) = 388565200