What is the Least Common Multiple of 76309 and 76328?

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 76309 and 76328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76309 and 76328, than apply into the LCM equation.

GCF(76309,76328) = 1
LCM(76309,76328) = ( 76309 × 76328) / 1
LCM(76309,76328) = 5824513352 / 1
LCM(76309,76328) = 5824513352

Least Common Multiple (LCM) of 76309 and 76328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76309 and 76328. First we will calculate the prime factors of 76309 and 76328.

Prime Factorization of 76309

Prime Factorization of 76328

Now multiplying the highest exponent prime factors to calculate the LCM of 76309 and 76328.

LCM(76309,76328) = 137¹ × 557¹ × 2³ × 7¹ × 29¹ × 47¹
LCM(76309,76328) = 5824513352