What is the Least Common Multiple of 34040 and 34046?

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 34040 and 34046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34040 and 34046, than apply into the LCM equation.

GCF(34040,34046) = 2
LCM(34040,34046) = ( 34040 × 34046) / 2
LCM(34040,34046) = 1158925840 / 2
LCM(34040,34046) = 579462920

Least Common Multiple (LCM) of 34040 and 34046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34040 and 34046. First we will calculate the prime factors of 34040 and 34046.

Prime Factorization of 34040

Prime Factorization of 34046

Now multiplying the highest exponent prime factors to calculate the LCM of 34040 and 34046.

LCM(34040,34046) = 2³ × 5¹ × 23¹ × 37¹ × 29¹ × 587¹
LCM(34040,34046) = 579462920