What is the Least Common Multiple of 95193 and 95197?

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 95193 and 95197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95193 and 95197, than apply into the LCM equation.

GCF(95193,95197) = 1
LCM(95193,95197) = ( 95193 × 95197) / 1
LCM(95193,95197) = 9062088021 / 1
LCM(95193,95197) = 9062088021

Least Common Multiple (LCM) of 95193 and 95197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95193 and 95197. First we will calculate the prime factors of 95193 and 95197.

Prime Factorization of 95193

Prime Factorization of 95197

Now multiplying the highest exponent prime factors to calculate the LCM of 95193 and 95197.

LCM(95193,95197) = 3² × 7¹ × 1511¹ × 23¹ × 4139¹
LCM(95193,95197) = 9062088021