What is the Least Common Multiple of 7904 and 7917?

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 7904 and 7917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7904 and 7917, than apply into the LCM equation.

GCF(7904,7917) = 13
LCM(7904,7917) = ( 7904 × 7917) / 13
LCM(7904,7917) = 62575968 / 13
LCM(7904,7917) = 4813536

Least Common Multiple (LCM) of 7904 and 7917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7904 and 7917. First we will calculate the prime factors of 7904 and 7917.

Prime Factorization of 7904

Prime Factorization of 7917

Now multiplying the highest exponent prime factors to calculate the LCM of 7904 and 7917.

LCM(7904,7917) = 2⁵ × 13¹ × 19¹ × 3¹ × 7¹ × 29¹
LCM(7904,7917) = 4813536