What is the Least Common Multiple of 95637 and 95653?

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 95637 and 95653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95637 and 95653, than apply into the LCM equation.

GCF(95637,95653) = 1
LCM(95637,95653) = ( 95637 × 95653) / 1
LCM(95637,95653) = 9147965961 / 1
LCM(95637,95653) = 9147965961

Least Common Multiple (LCM) of 95637 and 95653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95637 and 95653. First we will calculate the prime factors of 95637 and 95653.

Prime Factorization of 95637

Prime Factorization of 95653

Now multiplying the highest exponent prime factors to calculate the LCM of 95637 and 95653.

LCM(95637,95653) = 3¹ × 71¹ × 449¹ × 41¹ × 2333¹
LCM(95637,95653) = 9147965961