What is the Least Common Multiple of 76304 and 76323?

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 76304 and 76323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76304 and 76323, than apply into the LCM equation.

GCF(76304,76323) = 19
LCM(76304,76323) = ( 76304 × 76323) / 19
LCM(76304,76323) = 5823750192 / 19
LCM(76304,76323) = 306513168

Least Common Multiple (LCM) of 76304 and 76323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76304 and 76323. First we will calculate the prime factors of 76304 and 76323.

Prime Factorization of 76304

Prime Factorization of 76323

Now multiplying the highest exponent prime factors to calculate the LCM of 76304 and 76323.

LCM(76304,76323) = 2⁴ × 19¹ × 251¹ × 3¹ × 13¹ × 103¹
LCM(76304,76323) = 306513168