What is the Least Common Multiple of 95291 and 95298?

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 95291 and 95298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95291 and 95298, than apply into the LCM equation.

GCF(95291,95298) = 7
LCM(95291,95298) = ( 95291 × 95298) / 7
LCM(95291,95298) = 9081041718 / 7
LCM(95291,95298) = 1297291674

Least Common Multiple (LCM) of 95291 and 95298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95291 and 95298. First we will calculate the prime factors of 95291 and 95298.

Prime Factorization of 95291

Prime Factorization of 95298

Now multiplying the highest exponent prime factors to calculate the LCM of 95291 and 95298.

LCM(95291,95298) = 7¹ × 13613¹ × 2¹ × 3¹ × 2269¹
LCM(95291,95298) = 1297291674