What is the Least Common Multiple of 29024 and 29034?

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 29024 and 29034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29024 and 29034, than apply into the LCM equation.

GCF(29024,29034) = 2
LCM(29024,29034) = ( 29024 × 29034) / 2
LCM(29024,29034) = 842682816 / 2
LCM(29024,29034) = 421341408

Least Common Multiple (LCM) of 29024 and 29034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29024 and 29034. First we will calculate the prime factors of 29024 and 29034.

Prime Factorization of 29024

Prime Factorization of 29034

Now multiplying the highest exponent prime factors to calculate the LCM of 29024 and 29034.

LCM(29024,29034) = 2⁵ × 907¹ × 3² × 1613¹
LCM(29024,29034) = 421341408