What is the Least Common Multiple of 44324 and 44338?

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 44324 and 44338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44324 and 44338, than apply into the LCM equation.

GCF(44324,44338) = 14
LCM(44324,44338) = ( 44324 × 44338) / 14
LCM(44324,44338) = 1965237512 / 14
LCM(44324,44338) = 140374108

Least Common Multiple (LCM) of 44324 and 44338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44324 and 44338. First we will calculate the prime factors of 44324 and 44338.

Prime Factorization of 44324

Prime Factorization of 44338

Now multiplying the highest exponent prime factors to calculate the LCM of 44324 and 44338.

LCM(44324,44338) = 2² × 7¹ × 1583¹ × 3167¹
LCM(44324,44338) = 140374108