What is the Least Common Multiple of 76360 and 76379?

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 76360 and 76379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76360 and 76379, than apply into the LCM equation.

GCF(76360,76379) = 1
LCM(76360,76379) = ( 76360 × 76379) / 1
LCM(76360,76379) = 5832300440 / 1
LCM(76360,76379) = 5832300440

Least Common Multiple (LCM) of 76360 and 76379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76360 and 76379. First we will calculate the prime factors of 76360 and 76379.

Prime Factorization of 76360

Prime Factorization of 76379

Now multiplying the highest exponent prime factors to calculate the LCM of 76360 and 76379.

LCM(76360,76379) = 2³ × 5¹ × 23¹ × 83¹ × 76379¹
LCM(76360,76379) = 5832300440