What is the Least Common Multiple of 34256 and 34276?

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 34256 and 34276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34256 and 34276, than apply into the LCM equation.

GCF(34256,34276) = 4
LCM(34256,34276) = ( 34256 × 34276) / 4
LCM(34256,34276) = 1174158656 / 4
LCM(34256,34276) = 293539664

Least Common Multiple (LCM) of 34256 and 34276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34256 and 34276. First we will calculate the prime factors of 34256 and 34276.

Prime Factorization of 34256

Prime Factorization of 34276

Now multiplying the highest exponent prime factors to calculate the LCM of 34256 and 34276.

LCM(34256,34276) = 2⁴ × 2141¹ × 11¹ × 19¹ × 41¹
LCM(34256,34276) = 293539664