What is the Least Common Multiple of 95782 and 95793?

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 95793 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 95793, than apply into the LCM equation.

GCF(95782,95793) = 1
LCM(95782,95793) = ( 95782 × 95793) / 1
LCM(95782,95793) = 9175245126 / 1
LCM(95782,95793) = 9175245126

Least Common Multiple (LCM) of 95782 and 95793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95782 and 95793. First we will calculate the prime factors of 95782 and 95793.

Prime Factorization of 95782

Prime Factorization of 95793

Now multiplying the highest exponent prime factors to calculate the LCM of 95782 and 95793.

LCM(95782,95793) = 2¹ × 83¹ × 577¹ × 3¹ × 37¹ × 863¹
LCM(95782,95793) = 9175245126