What is the Least Common Multiple of 34109 and 34128?

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 34109 and 34128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34109 and 34128, than apply into the LCM equation.

GCF(34109,34128) = 1
LCM(34109,34128) = ( 34109 × 34128) / 1
LCM(34109,34128) = 1164071952 / 1
LCM(34109,34128) = 1164071952

Least Common Multiple (LCM) of 34109 and 34128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34109 and 34128. First we will calculate the prime factors of 34109 and 34128.

Prime Factorization of 34109

Prime Factorization of 34128

Now multiplying the highest exponent prime factors to calculate the LCM of 34109 and 34128.

LCM(34109,34128) = 23¹ × 1483¹ × 2⁴ × 3³ × 79¹
LCM(34109,34128) = 1164071952