What is the Least Common Multiple of 95764 and 95782?

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 95782 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 95782, than apply into the LCM equation.

GCF(95764,95782) = 2
LCM(95764,95782) = ( 95764 × 95782) / 2
LCM(95764,95782) = 9172467448 / 2
LCM(95764,95782) = 4586233724

Least Common Multiple (LCM) of 95764 and 95782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95764 and 95782. First we will calculate the prime factors of 95764 and 95782.

Prime Factorization of 95764

Prime Factorization of 95782

Now multiplying the highest exponent prime factors to calculate the LCM of 95764 and 95782.

LCM(95764,95782) = 2² × 89¹ × 269¹ × 83¹ × 577¹
LCM(95764,95782) = 4586233724