What is the Least Common Multiple of 95782 and 95786?

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 95782 and 95786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95782 and 95786, than apply into the LCM equation.

GCF(95782,95786) = 2
LCM(95782,95786) = ( 95782 × 95786) / 2
LCM(95782,95786) = 9174574652 / 2
LCM(95782,95786) = 4587287326

Least Common Multiple (LCM) of 95782 and 95786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95782 and 95786. First we will calculate the prime factors of 95782 and 95786.

Prime Factorization of 95782

Prime Factorization of 95786

Now multiplying the highest exponent prime factors to calculate the LCM of 95782 and 95786.

LCM(95782,95786) = 2¹ × 83¹ × 577¹ × 47¹ × 1019¹
LCM(95782,95786) = 4587287326