What is the Least Common Multiple of 29904 and 29916?

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 29904 and 29916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29904 and 29916, than apply into the LCM equation.

GCF(29904,29916) = 12
LCM(29904,29916) = ( 29904 × 29916) / 12
LCM(29904,29916) = 894608064 / 12
LCM(29904,29916) = 74550672

Least Common Multiple (LCM) of 29904 and 29916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29904 and 29916. First we will calculate the prime factors of 29904 and 29916.

Prime Factorization of 29904

Prime Factorization of 29916

Now multiplying the highest exponent prime factors to calculate the LCM of 29904 and 29916.

LCM(29904,29916) = 2⁴ × 3³ × 7¹ × 89¹ × 277¹
LCM(29904,29916) = 74550672