What is the Least Common Multiple of 76347 and 76361?

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 76347 and 76361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76347 and 76361, than apply into the LCM equation.

GCF(76347,76361) = 1
LCM(76347,76361) = ( 76347 × 76361) / 1
LCM(76347,76361) = 5829933267 / 1
LCM(76347,76361) = 5829933267

Least Common Multiple (LCM) of 76347 and 76361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76347 and 76361. First we will calculate the prime factors of 76347 and 76361.

Prime Factorization of 76347

Prime Factorization of 76361

Now multiplying the highest exponent prime factors to calculate the LCM of 76347 and 76361.

LCM(76347,76361) = 3² × 17¹ × 499¹ × 19¹ × 4019¹
LCM(76347,76361) = 5829933267