What is the Least Common Multiple of 76339 and 76356?

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 76339 and 76356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76339 and 76356, than apply into the LCM equation.

GCF(76339,76356) = 1
LCM(76339,76356) = ( 76339 × 76356) / 1
LCM(76339,76356) = 5828940684 / 1
LCM(76339,76356) = 5828940684

Least Common Multiple (LCM) of 76339 and 76356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76339 and 76356. First we will calculate the prime factors of 76339 and 76356.

Prime Factorization of 76339

Prime Factorization of 76356

Now multiplying the highest exponent prime factors to calculate the LCM of 76339 and 76356.

LCM(76339,76356) = 97¹ × 787¹ × 2² × 3³ × 7¹ × 101¹
LCM(76339,76356) = 5828940684