What is the Least Common Multiple of 76563 and 76578?

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 76563 and 76578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76563 and 76578, than apply into the LCM equation.

GCF(76563,76578) = 3
LCM(76563,76578) = ( 76563 × 76578) / 3
LCM(76563,76578) = 5863041414 / 3
LCM(76563,76578) = 1954347138

Least Common Multiple (LCM) of 76563 and 76578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76563 and 76578. First we will calculate the prime factors of 76563 and 76578.

Prime Factorization of 76563

Prime Factorization of 76578

Now multiplying the highest exponent prime factors to calculate the LCM of 76563 and 76578.

LCM(76563,76578) = 3² × 47¹ × 181¹ × 2¹ × 12763¹
LCM(76563,76578) = 1954347138