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What is the Least Common Multiple of 43331 and 43351?

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 43331 and 43351 is 1878442181.

LCM(43331,43351) = 1878442181

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Least Common Multiple of 43331 and 43351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43331 and 43351, than apply into the LCM equation.

GCF(43331,43351) = 1
LCM(43331,43351) = ( 43331 × 43351) / 1
LCM(43331,43351) = 1878442181 / 1
LCM(43331,43351) = 1878442181

Least Common Multiple (LCM) of 43331 and 43351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43331 and 43351. First we will calculate the prime factors of 43331 and 43351.

Prime Factorization of 43331

Prime factors of 43331 are 43331. Prime factorization of 43331 in exponential form is:

43331 = 433311

Prime Factorization of 43351

Prime factors of 43351 are 7, 11, 563. Prime factorization of 43351 in exponential form is:

43351 = 71 × 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 43331 and 43351.

LCM(43331,43351) = 433311 × 71 × 111 × 5631
LCM(43331,43351) = 1878442181