What is the Least Common Multiple of 76636 and 76640?

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 76636 and 76640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76636 and 76640, than apply into the LCM equation.

GCF(76636,76640) = 4
LCM(76636,76640) = ( 76636 × 76640) / 4
LCM(76636,76640) = 5873383040 / 4
LCM(76636,76640) = 1468345760

Least Common Multiple (LCM) of 76636 and 76640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76636 and 76640. First we will calculate the prime factors of 76636 and 76640.

Prime Factorization of 76636

Prime Factorization of 76640

Now multiplying the highest exponent prime factors to calculate the LCM of 76636 and 76640.

LCM(76636,76640) = 2⁵ × 7² × 17¹ × 23¹ × 5¹ × 479¹
LCM(76636,76640) = 1468345760