What is the Least Common Multiple of 34889 and 34902?

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 34889 and 34902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34889 and 34902, than apply into the LCM equation.

GCF(34889,34902) = 1
LCM(34889,34902) = ( 34889 × 34902) / 1
LCM(34889,34902) = 1217695878 / 1
LCM(34889,34902) = 1217695878

Least Common Multiple (LCM) of 34889 and 34902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34889 and 34902. First we will calculate the prime factors of 34889 and 34902.

Prime Factorization of 34889

Prime Factorization of 34902

Now multiplying the highest exponent prime factors to calculate the LCM of 34889 and 34902.

LCM(34889,34902) = 139¹ × 251¹ × 2¹ × 3² × 7¹ × 277¹
LCM(34889,34902) = 1217695878