What is the Least Common Multiple of 76834 and 76844?

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 76834 and 76844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76834 and 76844, than apply into the LCM equation.

GCF(76834,76844) = 2
LCM(76834,76844) = ( 76834 × 76844) / 2
LCM(76834,76844) = 5904231896 / 2
LCM(76834,76844) = 2952115948

Least Common Multiple (LCM) of 76834 and 76844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76834 and 76844. First we will calculate the prime factors of 76834 and 76844.

Prime Factorization of 76834

Prime Factorization of 76844

Now multiplying the highest exponent prime factors to calculate the LCM of 76834 and 76844.

LCM(76834,76844) = 2² × 41¹ × 937¹ × 19211¹
LCM(76834,76844) = 2952115948