What is the Least Common Multiple of 34240 and 34257?

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 34240 and 34257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34240 and 34257, than apply into the LCM equation.

GCF(34240,34257) = 1
LCM(34240,34257) = ( 34240 × 34257) / 1
LCM(34240,34257) = 1172959680 / 1
LCM(34240,34257) = 1172959680

Least Common Multiple (LCM) of 34240 and 34257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34240 and 34257. First we will calculate the prime factors of 34240 and 34257.

Prime Factorization of 34240

Prime Factorization of 34257

Now multiplying the highest exponent prime factors to calculate the LCM of 34240 and 34257.

LCM(34240,34257) = 2⁶ × 5¹ × 107¹ × 3¹ × 19¹ × 601¹
LCM(34240,34257) = 1172959680