What is the Least Common Multiple of 34120 and 34137?

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 34120 and 34137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34120 and 34137, than apply into the LCM equation.

GCF(34120,34137) = 1
LCM(34120,34137) = ( 34120 × 34137) / 1
LCM(34120,34137) = 1164754440 / 1
LCM(34120,34137) = 1164754440

Least Common Multiple (LCM) of 34120 and 34137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34120 and 34137. First we will calculate the prime factors of 34120 and 34137.

Prime Factorization of 34120

Prime Factorization of 34137

Now multiplying the highest exponent prime factors to calculate the LCM of 34120 and 34137.

LCM(34120,34137) = 2³ × 5¹ × 853¹ × 3² × 3793¹
LCM(34120,34137) = 1164754440