What is the Least Common Multiple of 95298 and 95306?

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 95298 and 95306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95298 and 95306, than apply into the LCM equation.

GCF(95298,95306) = 2
LCM(95298,95306) = ( 95298 × 95306) / 2
LCM(95298,95306) = 9082471188 / 2
LCM(95298,95306) = 4541235594

Least Common Multiple (LCM) of 95298 and 95306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95298 and 95306. First we will calculate the prime factors of 95298 and 95306.

Prime Factorization of 95298

Prime Factorization of 95306

Now multiplying the highest exponent prime factors to calculate the LCM of 95298 and 95306.

LCM(95298,95306) = 2¹ × 3¹ × 7¹ × 2269¹ × 47653¹
LCM(95298,95306) = 4541235594