What is the Least Common Multiple of 29118 and 29133?

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 29118 and 29133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29118 and 29133, than apply into the LCM equation.

GCF(29118,29133) = 3
LCM(29118,29133) = ( 29118 × 29133) / 3
LCM(29118,29133) = 848294694 / 3
LCM(29118,29133) = 282764898

Least Common Multiple (LCM) of 29118 and 29133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29118 and 29133. First we will calculate the prime factors of 29118 and 29133.

Prime Factorization of 29118

Prime Factorization of 29133

Now multiplying the highest exponent prime factors to calculate the LCM of 29118 and 29133.

LCM(29118,29133) = 2¹ × 3³ × 23¹ × 211¹ × 13¹ × 83¹
LCM(29118,29133) = 282764898