What is the Least Common Multiple of 34110 and 34127?

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 34110 and 34127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34110 and 34127, than apply into the LCM equation.

GCF(34110,34127) = 1
LCM(34110,34127) = ( 34110 × 34127) / 1
LCM(34110,34127) = 1164071970 / 1
LCM(34110,34127) = 1164071970

Least Common Multiple (LCM) of 34110 and 34127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34110 and 34127. First we will calculate the prime factors of 34110 and 34127.

Prime Factorization of 34110

Prime Factorization of 34127

Now multiplying the highest exponent prime factors to calculate the LCM of 34110 and 34127.

LCM(34110,34127) = 2¹ × 3² × 5¹ × 379¹ × 34127¹
LCM(34110,34127) = 1164071970