What is the Least Common Multiple of 95764 and 95783?

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 95764 and 95783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95764 and 95783, than apply into the LCM equation.

GCF(95764,95783) = 1
LCM(95764,95783) = ( 95764 × 95783) / 1
LCM(95764,95783) = 9172563212 / 1
LCM(95764,95783) = 9172563212

Least Common Multiple (LCM) of 95764 and 95783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95764 and 95783. First we will calculate the prime factors of 95764 and 95783.

Prime Factorization of 95764

Prime Factorization of 95783

Now multiplying the highest exponent prime factors to calculate the LCM of 95764 and 95783.

LCM(95764,95783) = 2² × 89¹ × 269¹ × 95783¹
LCM(95764,95783) = 9172563212