What is the Least Common Multiple of 38560 and 38580?

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 38560 and 38580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38560 and 38580, than apply into the LCM equation.

GCF(38560,38580) = 20
LCM(38560,38580) = ( 38560 × 38580) / 20
LCM(38560,38580) = 1487644800 / 20
LCM(38560,38580) = 74382240

Least Common Multiple (LCM) of 38560 and 38580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38560 and 38580. First we will calculate the prime factors of 38560 and 38580.

Prime Factorization of 38560

Prime Factorization of 38580

Now multiplying the highest exponent prime factors to calculate the LCM of 38560 and 38580.

LCM(38560,38580) = 2⁵ × 5¹ × 241¹ × 3¹ × 643¹
LCM(38560,38580) = 74382240