What is the Least Common Multiple of 34272 and 34281?

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 34272 and 34281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34272 and 34281, than apply into the LCM equation.

GCF(34272,34281) = 9
LCM(34272,34281) = ( 34272 × 34281) / 9
LCM(34272,34281) = 1174878432 / 9
LCM(34272,34281) = 130542048

Least Common Multiple (LCM) of 34272 and 34281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34272 and 34281. First we will calculate the prime factors of 34272 and 34281.

Prime Factorization of 34272

Prime Factorization of 34281

Now multiplying the highest exponent prime factors to calculate the LCM of 34272 and 34281.

LCM(34272,34281) = 2⁵ × 3² × 7¹ × 17¹ × 13¹ × 293¹
LCM(34272,34281) = 130542048