What is the Least Common Multiple of 95278 and 95294?

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 95278 and 95294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95278 and 95294, than apply into the LCM equation.

GCF(95278,95294) = 2
LCM(95278,95294) = ( 95278 × 95294) / 2
LCM(95278,95294) = 9079421732 / 2
LCM(95278,95294) = 4539710866

Least Common Multiple (LCM) of 95278 and 95294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95278 and 95294. First we will calculate the prime factors of 95278 and 95294.

Prime Factorization of 95278

Prime Factorization of 95294

Now multiplying the highest exponent prime factors to calculate the LCM of 95278 and 95294.

LCM(95278,95294) = 2¹ × 47639¹ × 29¹ × 31¹ × 53¹
LCM(95278,95294) = 4539710866