What is the Least Common Multiple of 38028 and 38048?

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 38028 and 38048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38028 and 38048, than apply into the LCM equation.

GCF(38028,38048) = 4
LCM(38028,38048) = ( 38028 × 38048) / 4
LCM(38028,38048) = 1446889344 / 4
LCM(38028,38048) = 361722336

Least Common Multiple (LCM) of 38028 and 38048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38028 and 38048. First we will calculate the prime factors of 38028 and 38048.

Prime Factorization of 38028

Prime Factorization of 38048

Now multiplying the highest exponent prime factors to calculate the LCM of 38028 and 38048.

LCM(38028,38048) = 2⁵ × 3¹ × 3169¹ × 29¹ × 41¹
LCM(38028,38048) = 361722336