What is the Least Common Multiple of 29316 and 29325?

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 29316 and 29325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29316 and 29325, than apply into the LCM equation.

GCF(29316,29325) = 3
LCM(29316,29325) = ( 29316 × 29325) / 3
LCM(29316,29325) = 859691700 / 3
LCM(29316,29325) = 286563900

Least Common Multiple (LCM) of 29316 and 29325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29316 and 29325. First we will calculate the prime factors of 29316 and 29325.

Prime Factorization of 29316

Prime Factorization of 29325

Now multiplying the highest exponent prime factors to calculate the LCM of 29316 and 29325.

LCM(29316,29325) = 2² × 3¹ × 7¹ × 349¹ × 5² × 17¹ × 23¹
LCM(29316,29325) = 286563900