What is the Least Common Multiple of 44352 and 44364?

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 44352 and 44364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44352 and 44364, than apply into the LCM equation.

GCF(44352,44364) = 12
LCM(44352,44364) = ( 44352 × 44364) / 12
LCM(44352,44364) = 1967632128 / 12
LCM(44352,44364) = 163969344

Least Common Multiple (LCM) of 44352 and 44364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44352 and 44364. First we will calculate the prime factors of 44352 and 44364.

Prime Factorization of 44352

Prime Factorization of 44364

Now multiplying the highest exponent prime factors to calculate the LCM of 44352 and 44364.

LCM(44352,44364) = 2⁶ × 3² × 7¹ × 11¹ × 3697¹
LCM(44352,44364) = 163969344