What is the Least Common Multiple of 44046 and 44064?

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 44046 and 44064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44046 and 44064, than apply into the LCM equation.

GCF(44046,44064) = 18
LCM(44046,44064) = ( 44046 × 44064) / 18
LCM(44046,44064) = 1940842944 / 18
LCM(44046,44064) = 107824608

Least Common Multiple (LCM) of 44046 and 44064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44046 and 44064. First we will calculate the prime factors of 44046 and 44064.

Prime Factorization of 44046

Prime Factorization of 44064

Now multiplying the highest exponent prime factors to calculate the LCM of 44046 and 44064.

LCM(44046,44064) = 2⁵ × 3⁴ × 2447¹ × 17¹
LCM(44046,44064) = 107824608