What is the Least Common Multiple of 34032 and 34040?

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 34032 and 34040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34032 and 34040, than apply into the LCM equation.

GCF(34032,34040) = 8
LCM(34032,34040) = ( 34032 × 34040) / 8
LCM(34032,34040) = 1158449280 / 8
LCM(34032,34040) = 144806160

Least Common Multiple (LCM) of 34032 and 34040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34032 and 34040. First we will calculate the prime factors of 34032 and 34040.

Prime Factorization of 34032

Prime Factorization of 34040

Now multiplying the highest exponent prime factors to calculate the LCM of 34032 and 34040.

LCM(34032,34040) = 2⁴ × 3¹ × 709¹ × 5¹ × 23¹ × 37¹
LCM(34032,34040) = 144806160