What is the Least Common Multiple of 38128 and 38146?

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 38128 and 38146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38128 and 38146, than apply into the LCM equation.

GCF(38128,38146) = 2
LCM(38128,38146) = ( 38128 × 38146) / 2
LCM(38128,38146) = 1454430688 / 2
LCM(38128,38146) = 727215344

Least Common Multiple (LCM) of 38128 and 38146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38128 and 38146. First we will calculate the prime factors of 38128 and 38146.

Prime Factorization of 38128

Prime Factorization of 38146

Now multiplying the highest exponent prime factors to calculate the LCM of 38128 and 38146.

LCM(38128,38146) = 2⁴ × 2383¹ × 19073¹
LCM(38128,38146) = 727215344