What is the Least Common Multiple of 15034 and 15040?

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 15034 and 15040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15034 and 15040, than apply into the LCM equation.

GCF(15034,15040) = 2
LCM(15034,15040) = ( 15034 × 15040) / 2
LCM(15034,15040) = 226111360 / 2
LCM(15034,15040) = 113055680

Least Common Multiple (LCM) of 15034 and 15040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15034 and 15040. First we will calculate the prime factors of 15034 and 15040.

Prime Factorization of 15034

Prime Factorization of 15040

Now multiplying the highest exponent prime factors to calculate the LCM of 15034 and 15040.

LCM(15034,15040) = 2⁶ × 7517¹ × 5¹ × 47¹
LCM(15034,15040) = 113055680