What is the Least Common Multiple of 44480 and 44496?

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 44480 and 44496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44480 and 44496, than apply into the LCM equation.

GCF(44480,44496) = 16
LCM(44480,44496) = ( 44480 × 44496) / 16
LCM(44480,44496) = 1979182080 / 16
LCM(44480,44496) = 123698880

Least Common Multiple (LCM) of 44480 and 44496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44480 and 44496. First we will calculate the prime factors of 44480 and 44496.

Prime Factorization of 44480

Prime Factorization of 44496

Now multiplying the highest exponent prime factors to calculate the LCM of 44480 and 44496.

LCM(44480,44496) = 2⁶ × 5¹ × 139¹ × 3³ × 103¹
LCM(44480,44496) = 123698880