What is the Least Common Multiple of 29988 and 29996?

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 29988 and 29996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29988 and 29996, than apply into the LCM equation.

GCF(29988,29996) = 4
LCM(29988,29996) = ( 29988 × 29996) / 4
LCM(29988,29996) = 899520048 / 4
LCM(29988,29996) = 224880012

Least Common Multiple (LCM) of 29988 and 29996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29988 and 29996. First we will calculate the prime factors of 29988 and 29996.

Prime Factorization of 29988

Prime Factorization of 29996

Now multiplying the highest exponent prime factors to calculate the LCM of 29988 and 29996.

LCM(29988,29996) = 2² × 3² × 7² × 17¹ × 7499¹
LCM(29988,29996) = 224880012