What is the Least Common Multiple of 76304 and 76316?

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 76316 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 76316, than apply into the LCM equation.

GCF(76304,76316) = 4
LCM(76304,76316) = ( 76304 × 76316) / 4
LCM(76304,76316) = 5823216064 / 4
LCM(76304,76316) = 1455804016

Least Common Multiple (LCM) of 76304 and 76316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76304 and 76316. First we will calculate the prime factors of 76304 and 76316.

Prime Factorization of 76304

Prime Factorization of 76316

Now multiplying the highest exponent prime factors to calculate the LCM of 76304 and 76316.

LCM(76304,76316) = 2⁴ × 19¹ × 251¹ × 19079¹
LCM(76304,76316) = 1455804016