What is the Least Common Multiple of 76683 and 76695?

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 76683 and 76695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76683 and 76695, than apply into the LCM equation.

GCF(76683,76695) = 3
LCM(76683,76695) = ( 76683 × 76695) / 3
LCM(76683,76695) = 5881202685 / 3
LCM(76683,76695) = 1960400895

Least Common Multiple (LCM) of 76683 and 76695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76683 and 76695. First we will calculate the prime factors of 76683 and 76695.

Prime Factorization of 76683

Prime Factorization of 76695

Now multiplying the highest exponent prime factors to calculate the LCM of 76683 and 76695.

LCM(76683,76695) = 3¹ × 25561¹ × 5¹ × 5113¹
LCM(76683,76695) = 1960400895