What is the Least Common Multiple of 43112 and 43129?

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 43112 and 43129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43112 and 43129, than apply into the LCM equation.

GCF(43112,43129) = 17
LCM(43112,43129) = ( 43112 × 43129) / 17
LCM(43112,43129) = 1859377448 / 17
LCM(43112,43129) = 109375144

Least Common Multiple (LCM) of 43112 and 43129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43112 and 43129. First we will calculate the prime factors of 43112 and 43129.

Prime Factorization of 43112

Prime Factorization of 43129

Now multiplying the highest exponent prime factors to calculate the LCM of 43112 and 43129.

LCM(43112,43129) = 2³ × 17¹ × 317¹ × 43¹ × 59¹
LCM(43112,43129) = 109375144