What is the Least Common Multiple of 44480 and 44493?

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 44493 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 44493, than apply into the LCM equation.

GCF(44480,44493) = 1
LCM(44480,44493) = ( 44480 × 44493) / 1
LCM(44480,44493) = 1979048640 / 1
LCM(44480,44493) = 1979048640

Least Common Multiple (LCM) of 44480 and 44493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44480 and 44493. First we will calculate the prime factors of 44480 and 44493.

Prime Factorization of 44480

Prime Factorization of 44493

Now multiplying the highest exponent prime factors to calculate the LCM of 44480 and 44493.

LCM(44480,44493) = 2⁶ × 5¹ × 139¹ × 3¹ × 14831¹
LCM(44480,44493) = 1979048640