What is the Least Common Multiple of 29889 and 29901?

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 29889 and 29901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29889 and 29901, than apply into the LCM equation.

GCF(29889,29901) = 3
LCM(29889,29901) = ( 29889 × 29901) / 3
LCM(29889,29901) = 893710989 / 3
LCM(29889,29901) = 297903663

Least Common Multiple (LCM) of 29889 and 29901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29889 and 29901. First we will calculate the prime factors of 29889 and 29901.

Prime Factorization of 29889

Prime Factorization of 29901

Now multiplying the highest exponent prime factors to calculate the LCM of 29889 and 29901.

LCM(29889,29901) = 3⁶ × 41¹ × 9967¹
LCM(29889,29901) = 297903663