What is the Least Common Multiple of 44400 and 44414?

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 44414 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 44414, than apply into the LCM equation.

GCF(44400,44414) = 2
LCM(44400,44414) = ( 44400 × 44414) / 2
LCM(44400,44414) = 1971981600 / 2
LCM(44400,44414) = 985990800

Least Common Multiple (LCM) of 44400 and 44414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44400 and 44414. First we will calculate the prime factors of 44400 and 44414.

Prime Factorization of 44400

Prime Factorization of 44414

Now multiplying the highest exponent prime factors to calculate the LCM of 44400 and 44414.

LCM(44400,44414) = 2⁴ × 3¹ × 5² × 37¹ × 53¹ × 419¹
LCM(44400,44414) = 985990800