What is the Least Common Multiple of 76719 and 76731?

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 76719 and 76731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76719 and 76731, than apply into the LCM equation.

GCF(76719,76731) = 3
LCM(76719,76731) = ( 76719 × 76731) / 3
LCM(76719,76731) = 5886725589 / 3
LCM(76719,76731) = 1962241863

Least Common Multiple (LCM) of 76719 and 76731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76719 and 76731. First we will calculate the prime factors of 76719 and 76731.

Prime Factorization of 76719

Prime Factorization of 76731

Now multiplying the highest exponent prime factors to calculate the LCM of 76719 and 76731.

LCM(76719,76731) = 3¹ × 107¹ × 239¹ × 25577¹
LCM(76719,76731) = 1962241863