What is the Least Common Multiple of 39128 and 39146?

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 39128 and 39146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39128 and 39146, than apply into the LCM equation.

GCF(39128,39146) = 2
LCM(39128,39146) = ( 39128 × 39146) / 2
LCM(39128,39146) = 1531704688 / 2
LCM(39128,39146) = 765852344

Least Common Multiple (LCM) of 39128 and 39146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39128 and 39146. First we will calculate the prime factors of 39128 and 39146.

Prime Factorization of 39128

Prime Factorization of 39146

Now multiplying the highest exponent prime factors to calculate the LCM of 39128 and 39146.

LCM(39128,39146) = 2³ × 67¹ × 73¹ × 23² × 37¹
LCM(39128,39146) = 765852344