What is the Least Common Multiple of 76365 and 76378?

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 76365 and 76378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76365 and 76378, than apply into the LCM equation.

GCF(76365,76378) = 1
LCM(76365,76378) = ( 76365 × 76378) / 1
LCM(76365,76378) = 5832605970 / 1
LCM(76365,76378) = 5832605970

Least Common Multiple (LCM) of 76365 and 76378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76365 and 76378. First we will calculate the prime factors of 76365 and 76378.

Prime Factorization of 76365

Prime Factorization of 76378

Now multiplying the highest exponent prime factors to calculate the LCM of 76365 and 76378.

LCM(76365,76378) = 3² × 5¹ × 1697¹ × 2¹ × 38189¹
LCM(76365,76378) = 5832605970