What is the Least Common Multiple of 34257 and 34275?

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 34257 and 34275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34257 and 34275, than apply into the LCM equation.

GCF(34257,34275) = 3
LCM(34257,34275) = ( 34257 × 34275) / 3
LCM(34257,34275) = 1174158675 / 3
LCM(34257,34275) = 391386225

Least Common Multiple (LCM) of 34257 and 34275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34257 and 34275. First we will calculate the prime factors of 34257 and 34275.

Prime Factorization of 34257

Prime Factorization of 34275

Now multiplying the highest exponent prime factors to calculate the LCM of 34257 and 34275.

LCM(34257,34275) = 3¹ × 19¹ × 601¹ × 5² × 457¹
LCM(34257,34275) = 391386225