What is the Least Common Multiple of 95682 and 95689?

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 95682 and 95689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95682 and 95689, than apply into the LCM equation.

GCF(95682,95689) = 1
LCM(95682,95689) = ( 95682 × 95689) / 1
LCM(95682,95689) = 9155714898 / 1
LCM(95682,95689) = 9155714898

Least Common Multiple (LCM) of 95682 and 95689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95682 and 95689. First we will calculate the prime factors of 95682 and 95689.

Prime Factorization of 95682

Prime Factorization of 95689

Now multiplying the highest exponent prime factors to calculate the LCM of 95682 and 95689.

LCM(95682,95689) = 2¹ × 3¹ × 37¹ × 431¹ × 11¹ × 8699¹
LCM(95682,95689) = 9155714898