What is the Least Common Multiple of 38640 and 38656?

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 38640 and 38656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38640 and 38656, than apply into the LCM equation.

GCF(38640,38656) = 16
LCM(38640,38656) = ( 38640 × 38656) / 16
LCM(38640,38656) = 1493667840 / 16
LCM(38640,38656) = 93354240

Least Common Multiple (LCM) of 38640 and 38656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38640 and 38656. First we will calculate the prime factors of 38640 and 38656.

Prime Factorization of 38640

Prime Factorization of 38656

Now multiplying the highest exponent prime factors to calculate the LCM of 38640 and 38656.

LCM(38640,38656) = 2⁸ × 3¹ × 5¹ × 7¹ × 23¹ × 151¹
LCM(38640,38656) = 93354240