What is the Least Common Multiple of 29304 and 29310?

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 29304 and 29310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29304 and 29310, than apply into the LCM equation.

GCF(29304,29310) = 6
LCM(29304,29310) = ( 29304 × 29310) / 6
LCM(29304,29310) = 858900240 / 6
LCM(29304,29310) = 143150040

Least Common Multiple (LCM) of 29304 and 29310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29304 and 29310. First we will calculate the prime factors of 29304 and 29310.

Prime Factorization of 29304

Prime Factorization of 29310

Now multiplying the highest exponent prime factors to calculate the LCM of 29304 and 29310.

LCM(29304,29310) = 2³ × 3² × 11¹ × 37¹ × 5¹ × 977¹
LCM(29304,29310) = 143150040