What is the Least Common Multiple of 76404 and 76424?

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 76404 and 76424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76404 and 76424, than apply into the LCM equation.

GCF(76404,76424) = 4
LCM(76404,76424) = ( 76404 × 76424) / 4
LCM(76404,76424) = 5839099296 / 4
LCM(76404,76424) = 1459774824

Least Common Multiple (LCM) of 76404 and 76424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76404 and 76424. First we will calculate the prime factors of 76404 and 76424.

Prime Factorization of 76404

Prime Factorization of 76424

Now multiplying the highest exponent prime factors to calculate the LCM of 76404 and 76424.

LCM(76404,76424) = 2³ × 3¹ × 6367¹ × 41¹ × 233¹
LCM(76404,76424) = 1459774824