What is the Least Common Multiple of 43274 and 43281?

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 43274 and 43281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43274 and 43281, than apply into the LCM equation.

GCF(43274,43281) = 7
LCM(43274,43281) = ( 43274 × 43281) / 7
LCM(43274,43281) = 1872941994 / 7
LCM(43274,43281) = 267563142

Least Common Multiple (LCM) of 43274 and 43281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43274 and 43281. First we will calculate the prime factors of 43274 and 43281.

Prime Factorization of 43274

Prime Factorization of 43281

Now multiplying the highest exponent prime factors to calculate the LCM of 43274 and 43281.

LCM(43274,43281) = 2¹ × 7¹ × 11¹ × 281¹ × 3³ × 229¹
LCM(43274,43281) = 267563142