What is the Least Common Multiple of 44064 and 44072?

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 44064 and 44072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44064 and 44072, than apply into the LCM equation.

GCF(44064,44072) = 8
LCM(44064,44072) = ( 44064 × 44072) / 8
LCM(44064,44072) = 1941988608 / 8
LCM(44064,44072) = 242748576

Least Common Multiple (LCM) of 44064 and 44072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44064 and 44072. First we will calculate the prime factors of 44064 and 44072.

Prime Factorization of 44064

Prime Factorization of 44072

Now multiplying the highest exponent prime factors to calculate the LCM of 44064 and 44072.

LCM(44064,44072) = 2⁵ × 3⁴ × 17¹ × 7¹ × 787¹
LCM(44064,44072) = 242748576