What is the Least Common Multiple of 12128 and 12138?

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 12128 and 12138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12128 and 12138, than apply into the LCM equation.

GCF(12128,12138) = 2
LCM(12128,12138) = ( 12128 × 12138) / 2
LCM(12128,12138) = 147209664 / 2
LCM(12128,12138) = 73604832

Least Common Multiple (LCM) of 12128 and 12138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12128 and 12138. First we will calculate the prime factors of 12128 and 12138.

Prime Factorization of 12128

Prime Factorization of 12138

Now multiplying the highest exponent prime factors to calculate the LCM of 12128 and 12138.

LCM(12128,12138) = 2⁵ × 379¹ × 3¹ × 7¹ × 17²
LCM(12128,12138) = 73604832