What is the Least Common Multiple of 95096 and 95102?

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 95096 and 95102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95096 and 95102, than apply into the LCM equation.

GCF(95096,95102) = 2
LCM(95096,95102) = ( 95096 × 95102) / 2
LCM(95096,95102) = 9043819792 / 2
LCM(95096,95102) = 4521909896

Least Common Multiple (LCM) of 95096 and 95102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95096 and 95102. First we will calculate the prime factors of 95096 and 95102.

Prime Factorization of 95096

Prime Factorization of 95102

Now multiplying the highest exponent prime factors to calculate the LCM of 95096 and 95102.

LCM(95096,95102) = 2³ × 11887¹ × 7¹ × 6793¹
LCM(95096,95102) = 4521909896