What is the Least Common Multiple of 76307 and 76321?

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 76307 and 76321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76307 and 76321, than apply into the LCM equation.

GCF(76307,76321) = 7
LCM(76307,76321) = ( 76307 × 76321) / 7
LCM(76307,76321) = 5823826547 / 7
LCM(76307,76321) = 831975221

Least Common Multiple (LCM) of 76307 and 76321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76307 and 76321. First we will calculate the prime factors of 76307 and 76321.

Prime Factorization of 76307

Prime Factorization of 76321

Now multiplying the highest exponent prime factors to calculate the LCM of 76307 and 76321.

LCM(76307,76321) = 7¹ × 11¹ × 991¹ × 10903¹
LCM(76307,76321) = 831975221