What is the Least Common Multiple of 29916 and 29932?

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 29916 and 29932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29916 and 29932, than apply into the LCM equation.

GCF(29916,29932) = 4
LCM(29916,29932) = ( 29916 × 29932) / 4
LCM(29916,29932) = 895445712 / 4
LCM(29916,29932) = 223861428

Least Common Multiple (LCM) of 29916 and 29932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29916 and 29932. First we will calculate the prime factors of 29916 and 29932.

Prime Factorization of 29916

Prime Factorization of 29932

Now multiplying the highest exponent prime factors to calculate the LCM of 29916 and 29932.

LCM(29916,29932) = 2² × 3³ × 277¹ × 7¹ × 1069¹
LCM(29916,29932) = 223861428