What is the Least Common Multiple of 43307 and 43318?

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 43307 and 43318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43307 and 43318, than apply into the LCM equation.

GCF(43307,43318) = 11
LCM(43307,43318) = ( 43307 × 43318) / 11
LCM(43307,43318) = 1875972626 / 11
LCM(43307,43318) = 170542966

Least Common Multiple (LCM) of 43307 and 43318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43307 and 43318. First we will calculate the prime factors of 43307 and 43318.

Prime Factorization of 43307

Prime Factorization of 43318

Now multiplying the highest exponent prime factors to calculate the LCM of 43307 and 43318.

LCM(43307,43318) = 11² × 31¹ × 127¹ × 2¹ × 179¹
LCM(43307,43318) = 170542966