What is the Least Common Multiple of 95084 and 95098?

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 95084 and 95098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95084 and 95098, than apply into the LCM equation.

GCF(95084,95098) = 2
LCM(95084,95098) = ( 95084 × 95098) / 2
LCM(95084,95098) = 9042298232 / 2
LCM(95084,95098) = 4521149116

Least Common Multiple (LCM) of 95084 and 95098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95084 and 95098. First we will calculate the prime factors of 95084 and 95098.

Prime Factorization of 95084

Prime Factorization of 95098

Now multiplying the highest exponent prime factors to calculate the LCM of 95084 and 95098.

LCM(95084,95098) = 2² × 11¹ × 2161¹ × 17¹ × 2797¹
LCM(95084,95098) = 4521149116