What is the Least Common Multiple of 38720 and 38735?

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 38720 and 38735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38720 and 38735, than apply into the LCM equation.

GCF(38720,38735) = 5
LCM(38720,38735) = ( 38720 × 38735) / 5
LCM(38720,38735) = 1499819200 / 5
LCM(38720,38735) = 299963840

Least Common Multiple (LCM) of 38720 and 38735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38720 and 38735. First we will calculate the prime factors of 38720 and 38735.

Prime Factorization of 38720

Prime Factorization of 38735

Now multiplying the highest exponent prime factors to calculate the LCM of 38720 and 38735.

LCM(38720,38735) = 2⁶ × 5¹ × 11² × 61¹ × 127¹
LCM(38720,38735) = 299963840