What is the Least Common Multiple of 76378 and 76395?

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 76378 and 76395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76378 and 76395, than apply into the LCM equation.

GCF(76378,76395) = 1
LCM(76378,76395) = ( 76378 × 76395) / 1
LCM(76378,76395) = 5834897310 / 1
LCM(76378,76395) = 5834897310

Least Common Multiple (LCM) of 76378 and 76395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76378 and 76395. First we will calculate the prime factors of 76378 and 76395.

Prime Factorization of 76378

Prime Factorization of 76395

Now multiplying the highest exponent prime factors to calculate the LCM of 76378 and 76395.

LCM(76378,76395) = 2¹ × 38189¹ × 3¹ × 5¹ × 11¹ × 463¹
LCM(76378,76395) = 5834897310