What is the Least Common Multiple of 7912 and 7926?

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 7912 and 7926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7912 and 7926, than apply into the LCM equation.

GCF(7912,7926) = 2
LCM(7912,7926) = ( 7912 × 7926) / 2
LCM(7912,7926) = 62710512 / 2
LCM(7912,7926) = 31355256

Least Common Multiple (LCM) of 7912 and 7926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7912 and 7926. First we will calculate the prime factors of 7912 and 7926.

Prime Factorization of 7912

Prime Factorization of 7926

Now multiplying the highest exponent prime factors to calculate the LCM of 7912 and 7926.

LCM(7912,7926) = 2³ × 23¹ × 43¹ × 3¹ × 1321¹
LCM(7912,7926) = 31355256