What is the Least Common Multiple of 44400 and 44416?

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 44416 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 44416, than apply into the LCM equation.

GCF(44400,44416) = 16
LCM(44400,44416) = ( 44400 × 44416) / 16
LCM(44400,44416) = 1972070400 / 16
LCM(44400,44416) = 123254400

Least Common Multiple (LCM) of 44400 and 44416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44400 and 44416. First we will calculate the prime factors of 44400 and 44416.

Prime Factorization of 44400

Prime Factorization of 44416

Now multiplying the highest exponent prime factors to calculate the LCM of 44400 and 44416.

LCM(44400,44416) = 2⁷ × 3¹ × 5² × 37¹ × 347¹
LCM(44400,44416) = 123254400