What is the Least Common Multiple of 34257 and 34274?

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 34274 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 34274, than apply into the LCM equation.

GCF(34257,34274) = 1
LCM(34257,34274) = ( 34257 × 34274) / 1
LCM(34257,34274) = 1174124418 / 1
LCM(34257,34274) = 1174124418

Least Common Multiple (LCM) of 34257 and 34274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34257 and 34274. First we will calculate the prime factors of 34257 and 34274.

Prime Factorization of 34257

Prime Factorization of 34274

Now multiplying the highest exponent prime factors to calculate the LCM of 34257 and 34274.

LCM(34257,34274) = 3¹ × 19¹ × 601¹ × 2¹ × 17137¹
LCM(34257,34274) = 1174124418