What is the Least Common Multiple of 38075 and 38080?

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 38075 and 38080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38075 and 38080, than apply into the LCM equation.

GCF(38075,38080) = 5
LCM(38075,38080) = ( 38075 × 38080) / 5
LCM(38075,38080) = 1449896000 / 5
LCM(38075,38080) = 289979200

Least Common Multiple (LCM) of 38075 and 38080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38075 and 38080. First we will calculate the prime factors of 38075 and 38080.

Prime Factorization of 38075

Prime Factorization of 38080

Now multiplying the highest exponent prime factors to calculate the LCM of 38075 and 38080.

LCM(38075,38080) = 5² × 1523¹ × 2⁶ × 7¹ × 17¹
LCM(38075,38080) = 289979200