What is the Least Common Multiple of 34123 and 34140?

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 34123 and 34140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34123 and 34140, than apply into the LCM equation.

GCF(34123,34140) = 1
LCM(34123,34140) = ( 34123 × 34140) / 1
LCM(34123,34140) = 1164959220 / 1
LCM(34123,34140) = 1164959220

Least Common Multiple (LCM) of 34123 and 34140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34123 and 34140. First we will calculate the prime factors of 34123 and 34140.

Prime Factorization of 34123

Prime Factorization of 34140

Now multiplying the highest exponent prime factors to calculate the LCM of 34123 and 34140.

LCM(34123,34140) = 34123¹ × 2² × 3¹ × 5¹ × 569¹
LCM(34123,34140) = 1164959220