What is the Least Common Multiple of 76904 and 76923?

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 76904 and 76923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76904 and 76923, than apply into the LCM equation.

GCF(76904,76923) = 1
LCM(76904,76923) = ( 76904 × 76923) / 1
LCM(76904,76923) = 5915686392 / 1
LCM(76904,76923) = 5915686392

Least Common Multiple (LCM) of 76904 and 76923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76904 and 76923. First we will calculate the prime factors of 76904 and 76923.

Prime Factorization of 76904

Prime Factorization of 76923

Now multiplying the highest exponent prime factors to calculate the LCM of 76904 and 76923.

LCM(76904,76923) = 2³ × 9613¹ × 3³ × 7¹ × 11¹ × 37¹
LCM(76904,76923) = 5915686392