What is the Least Common Multiple of 34250 and 34256?

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 34250 and 34256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34250 and 34256, than apply into the LCM equation.

GCF(34250,34256) = 2
LCM(34250,34256) = ( 34250 × 34256) / 2
LCM(34250,34256) = 1173268000 / 2
LCM(34250,34256) = 586634000

Least Common Multiple (LCM) of 34250 and 34256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34250 and 34256. First we will calculate the prime factors of 34250 and 34256.

Prime Factorization of 34250

Prime Factorization of 34256

Now multiplying the highest exponent prime factors to calculate the LCM of 34250 and 34256.

LCM(34250,34256) = 2⁴ × 5³ × 137¹ × 2141¹
LCM(34250,34256) = 586634000