What is the Least Common Multiple of 34893 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 34893 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 34893 and 34902, than apply into the LCM equation.

GCF(34893,34902) = 9
LCM(34893,34902) = ( 34893 × 34902) / 9
LCM(34893,34902) = 1217835486 / 9
LCM(34893,34902) = 135315054

Least Common Multiple (LCM) of 34893 and 34902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34893 and 34902. First we will calculate the prime factors of 34893 and 34902.

Prime Factorization of 34893

Prime Factorization of 34902

Now multiplying the highest exponent prime factors to calculate the LCM of 34893 and 34902.

LCM(34893,34902) = 3² × 3877¹ × 2¹ × 7¹ × 277¹
LCM(34893,34902) = 135315054