What is the Least Common Multiple of 34108 and 34114?

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 34108 and 34114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34108 and 34114, than apply into the LCM equation.

GCF(34108,34114) = 2
LCM(34108,34114) = ( 34108 × 34114) / 2
LCM(34108,34114) = 1163560312 / 2
LCM(34108,34114) = 581780156

Least Common Multiple (LCM) of 34108 and 34114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34108 and 34114. First we will calculate the prime factors of 34108 and 34114.

Prime Factorization of 34108

Prime Factorization of 34114

Now multiplying the highest exponent prime factors to calculate the LCM of 34108 and 34114.

LCM(34108,34114) = 2² × 8527¹ × 37¹ × 461¹
LCM(34108,34114) = 581780156