What is the Least Common Multiple of 76293 and 76309?

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 76293 and 76309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76293 and 76309, than apply into the LCM equation.

GCF(76293,76309) = 1
LCM(76293,76309) = ( 76293 × 76309) / 1
LCM(76293,76309) = 5821842537 / 1
LCM(76293,76309) = 5821842537

Least Common Multiple (LCM) of 76293 and 76309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76293 and 76309. First we will calculate the prime factors of 76293 and 76309.

Prime Factorization of 76293

Prime Factorization of 76309

Now multiplying the highest exponent prime factors to calculate the LCM of 76293 and 76309.

LCM(76293,76309) = 3² × 7² × 173¹ × 137¹ × 557¹
LCM(76293,76309) = 5821842537