What is the Least Common Multiple of 44400 and 44406?

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 44400 and 44406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44400 and 44406, than apply into the LCM equation.

GCF(44400,44406) = 6
LCM(44400,44406) = ( 44400 × 44406) / 6
LCM(44400,44406) = 1971626400 / 6
LCM(44400,44406) = 328604400

Least Common Multiple (LCM) of 44400 and 44406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44400 and 44406. First we will calculate the prime factors of 44400 and 44406.

Prime Factorization of 44400

Prime Factorization of 44406

Now multiplying the highest exponent prime factors to calculate the LCM of 44400 and 44406.

LCM(44400,44406) = 2⁴ × 3² × 5² × 37¹ × 2467¹
LCM(44400,44406) = 328604400