What is the Least Common Multiple of 43274 and 43288?

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 43288 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 43288, than apply into the LCM equation.

GCF(43274,43288) = 14
LCM(43274,43288) = ( 43274 × 43288) / 14
LCM(43274,43288) = 1873244912 / 14
LCM(43274,43288) = 133803208

Least Common Multiple (LCM) of 43274 and 43288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43274 and 43288. First we will calculate the prime factors of 43274 and 43288.

Prime Factorization of 43274

Prime Factorization of 43288

Now multiplying the highest exponent prime factors to calculate the LCM of 43274 and 43288.

LCM(43274,43288) = 2³ × 7¹ × 11¹ × 281¹ × 773¹
LCM(43274,43288) = 133803208