What is the Least Common Multiple of 6912 and 6926?

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 6912 and 6926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6912 and 6926, than apply into the LCM equation.

GCF(6912,6926) = 2
LCM(6912,6926) = ( 6912 × 6926) / 2
LCM(6912,6926) = 47872512 / 2
LCM(6912,6926) = 23936256

Least Common Multiple (LCM) of 6912 and 6926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6912 and 6926. First we will calculate the prime factors of 6912 and 6926.

Prime Factorization of 6912

Prime Factorization of 6926

Now multiplying the highest exponent prime factors to calculate the LCM of 6912 and 6926.

LCM(6912,6926) = 2⁸ × 3³ × 3463¹
LCM(6912,6926) = 23936256