What is the Least Common Multiple of 76889 and 76902?

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 76889 and 76902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76889 and 76902, than apply into the LCM equation.

GCF(76889,76902) = 1
LCM(76889,76902) = ( 76889 × 76902) / 1
LCM(76889,76902) = 5912917878 / 1
LCM(76889,76902) = 5912917878

Least Common Multiple (LCM) of 76889 and 76902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76889 and 76902. First we will calculate the prime factors of 76889 and 76902.

Prime Factorization of 76889

Prime Factorization of 76902

Now multiplying the highest exponent prime factors to calculate the LCM of 76889 and 76902.

LCM(76889,76902) = 23¹ × 3343¹ × 2¹ × 3¹ × 7¹ × 1831¹
LCM(76889,76902) = 5912917878