What is the Least Common Multiple of 95098 and 95114?

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 95098 and 95114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95098 and 95114, than apply into the LCM equation.

GCF(95098,95114) = 2
LCM(95098,95114) = ( 95098 × 95114) / 2
LCM(95098,95114) = 9045151172 / 2
LCM(95098,95114) = 4522575586

Least Common Multiple (LCM) of 95098 and 95114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95098 and 95114. First we will calculate the prime factors of 95098 and 95114.

Prime Factorization of 95098

Prime Factorization of 95114

Now multiplying the highest exponent prime factors to calculate the LCM of 95098 and 95114.

LCM(95098,95114) = 2¹ × 17¹ × 2797¹ × 19¹ × 2503¹
LCM(95098,95114) = 4522575586