What is the Least Common Multiple of 29012 and 29024?

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 29012 and 29024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29012 and 29024, than apply into the LCM equation.

GCF(29012,29024) = 4
LCM(29012,29024) = ( 29012 × 29024) / 4
LCM(29012,29024) = 842044288 / 4
LCM(29012,29024) = 210511072

Least Common Multiple (LCM) of 29012 and 29024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29012 and 29024. First we will calculate the prime factors of 29012 and 29024.

Prime Factorization of 29012

Prime Factorization of 29024

Now multiplying the highest exponent prime factors to calculate the LCM of 29012 and 29024.

LCM(29012,29024) = 2⁵ × 7253¹ × 907¹
LCM(29012,29024) = 210511072