What is the Least Common Multiple of 83104 and 83114?

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 83104 and 83114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83104 and 83114, than apply into the LCM equation.

GCF(83104,83114) = 2
LCM(83104,83114) = ( 83104 × 83114) / 2
LCM(83104,83114) = 6907105856 / 2
LCM(83104,83114) = 3453552928

Least Common Multiple (LCM) of 83104 and 83114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83104 and 83114. First we will calculate the prime factors of 83104 and 83114.

Prime Factorization of 83104

Prime Factorization of 83114

Now multiplying the highest exponent prime factors to calculate the LCM of 83104 and 83114.

LCM(83104,83114) = 2⁵ × 7² × 53¹ × 29¹ × 1433¹
LCM(83104,83114) = 3453552928