What is the Least Common Multiple of 7914 and 7929?

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 7914 and 7929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7914 and 7929, than apply into the LCM equation.

GCF(7914,7929) = 3
LCM(7914,7929) = ( 7914 × 7929) / 3
LCM(7914,7929) = 62750106 / 3
LCM(7914,7929) = 20916702

Least Common Multiple (LCM) of 7914 and 7929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7914 and 7929. First we will calculate the prime factors of 7914 and 7929.

Prime Factorization of 7914

Prime Factorization of 7929

Now multiplying the highest exponent prime factors to calculate the LCM of 7914 and 7929.

LCM(7914,7929) = 2¹ × 3² × 1319¹ × 881¹
LCM(7914,7929) = 20916702