What is the Least Common Multiple of 44365 and 44380?

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 44365 and 44380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44365 and 44380, than apply into the LCM equation.

GCF(44365,44380) = 5
LCM(44365,44380) = ( 44365 × 44380) / 5
LCM(44365,44380) = 1968918700 / 5
LCM(44365,44380) = 393783740

Least Common Multiple (LCM) of 44365 and 44380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44365 and 44380. First we will calculate the prime factors of 44365 and 44380.

Prime Factorization of 44365

Prime Factorization of 44380

Now multiplying the highest exponent prime factors to calculate the LCM of 44365 and 44380.

LCM(44365,44380) = 5¹ × 19¹ × 467¹ × 2² × 7¹ × 317¹
LCM(44365,44380) = 393783740