What is the Least Common Multiple of 44318 and 44324?

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 44318 and 44324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44318 and 44324, than apply into the LCM equation.

GCF(44318,44324) = 2
LCM(44318,44324) = ( 44318 × 44324) / 2
LCM(44318,44324) = 1964351032 / 2
LCM(44318,44324) = 982175516

Least Common Multiple (LCM) of 44318 and 44324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44318 and 44324. First we will calculate the prime factors of 44318 and 44324.

Prime Factorization of 44318

Prime Factorization of 44324

Now multiplying the highest exponent prime factors to calculate the LCM of 44318 and 44324.

LCM(44318,44324) = 2² × 22159¹ × 7¹ × 1583¹
LCM(44318,44324) = 982175516