What is the Least Common Multiple of 29888 and 29908?

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 29888 and 29908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29888 and 29908, than apply into the LCM equation.

GCF(29888,29908) = 4
LCM(29888,29908) = ( 29888 × 29908) / 4
LCM(29888,29908) = 893890304 / 4
LCM(29888,29908) = 223472576

Least Common Multiple (LCM) of 29888 and 29908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29888 and 29908. First we will calculate the prime factors of 29888 and 29908.

Prime Factorization of 29888

Prime Factorization of 29908

Now multiplying the highest exponent prime factors to calculate the LCM of 29888 and 29908.

LCM(29888,29908) = 2⁶ × 467¹ × 7477¹
LCM(29888,29908) = 223472576