What is the Least Common Multiple of 29874 and 29889?

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 29874 and 29889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29874 and 29889, than apply into the LCM equation.

GCF(29874,29889) = 3
LCM(29874,29889) = ( 29874 × 29889) / 3
LCM(29874,29889) = 892903986 / 3
LCM(29874,29889) = 297634662

Least Common Multiple (LCM) of 29874 and 29889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29874 and 29889. First we will calculate the prime factors of 29874 and 29889.

Prime Factorization of 29874

Prime Factorization of 29889

Now multiplying the highest exponent prime factors to calculate the LCM of 29874 and 29889.

LCM(29874,29889) = 2¹ × 3⁶ × 13¹ × 383¹ × 41¹
LCM(29874,29889) = 297634662