What is the Least Common Multiple of 38635 and 38640?

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 38635 and 38640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38635 and 38640, than apply into the LCM equation.

GCF(38635,38640) = 5
LCM(38635,38640) = ( 38635 × 38640) / 5
LCM(38635,38640) = 1492856400 / 5
LCM(38635,38640) = 298571280

Least Common Multiple (LCM) of 38635 and 38640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38635 and 38640. First we will calculate the prime factors of 38635 and 38640.

Prime Factorization of 38635

Prime Factorization of 38640

Now multiplying the highest exponent prime factors to calculate the LCM of 38635 and 38640.

LCM(38635,38640) = 5¹ × 7727¹ × 2⁴ × 3¹ × 7¹ × 23¹
LCM(38635,38640) = 298571280