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What is the Least Common Multiple of 43307 and 43322?

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 (LCM) of 43307 and 43322 is 1876145854.

LCM(43307,43322) = 1876145854

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Least Common Multiple of 43307 and 43322 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 43322, than apply into the LCM equation.

GCF(43307,43322) = 1
LCM(43307,43322) = ( 43307 × 43322) / 1
LCM(43307,43322) = 1876145854 / 1
LCM(43307,43322) = 1876145854

Least Common Multiple (LCM) of 43307 and 43322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43307 and 43322. First we will calculate the prime factors of 43307 and 43322.

Prime Factorization of 43307

Prime factors of 43307 are 11, 31, 127. Prime factorization of 43307 in exponential form is:

43307 = 111 × 311 × 1271

Prime Factorization of 43322

Prime factors of 43322 are 2, 21661. Prime factorization of 43322 in exponential form is:

43322 = 21 × 216611

Now multiplying the highest exponent prime factors to calculate the LCM of 43307 and 43322.

LCM(43307,43322) = 111 × 311 × 1271 × 21 × 216611
LCM(43307,43322) = 1876145854