What is the Least Common Multiple of 12938 and 12946?

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 12938 and 12946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12938 and 12946, than apply into the LCM equation.

GCF(12938,12946) = 2
LCM(12938,12946) = ( 12938 × 12946) / 2
LCM(12938,12946) = 167495348 / 2
LCM(12938,12946) = 83747674

Least Common Multiple (LCM) of 12938 and 12946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12938 and 12946. First we will calculate the prime factors of 12938 and 12946.

Prime Factorization of 12938

Prime Factorization of 12946

Now multiplying the highest exponent prime factors to calculate the LCM of 12938 and 12946.

LCM(12938,12946) = 2¹ × 6469¹ × 6473¹
LCM(12938,12946) = 83747674