What is the Least Common Multiple of 38080 and 38088?

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 38080 and 38088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38080 and 38088, than apply into the LCM equation.

GCF(38080,38088) = 8
LCM(38080,38088) = ( 38080 × 38088) / 8
LCM(38080,38088) = 1450391040 / 8
LCM(38080,38088) = 181298880

Least Common Multiple (LCM) of 38080 and 38088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38080 and 38088. First we will calculate the prime factors of 38080 and 38088.

Prime Factorization of 38080

Prime Factorization of 38088

Now multiplying the highest exponent prime factors to calculate the LCM of 38080 and 38088.

LCM(38080,38088) = 2⁶ × 5¹ × 7¹ × 17¹ × 3² × 23²
LCM(38080,38088) = 181298880