What is the Least Common Multiple of 95091 and 95106?

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 95091 and 95106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95091 and 95106, than apply into the LCM equation.

GCF(95091,95106) = 3
LCM(95091,95106) = ( 95091 × 95106) / 3
LCM(95091,95106) = 9043724646 / 3
LCM(95091,95106) = 3014574882

Least Common Multiple (LCM) of 95091 and 95106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95091 and 95106. First we will calculate the prime factors of 95091 and 95106.

Prime Factorization of 95091

Prime Factorization of 95106

Now multiplying the highest exponent prime factors to calculate the LCM of 95091 and 95106.

LCM(95091,95106) = 3¹ × 29¹ × 1093¹ × 2¹ × 11² × 131¹
LCM(95091,95106) = 3014574882