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What is the Least Common Multiple of 43331 and 43340?

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 43340 is 1877965540.

LCM(43331,43340) = 1877965540

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Least Common Multiple of 43331 and 43340 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 43340, than apply into the LCM equation.

GCF(43331,43340) = 1
LCM(43331,43340) = ( 43331 × 43340) / 1
LCM(43331,43340) = 1877965540 / 1
LCM(43331,43340) = 1877965540

Least Common Multiple (LCM) of 43331 and 43340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43331 and 43340. First we will calculate the prime factors of 43331 and 43340.

Prime Factorization of 43331

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

43331 = 433311

Prime Factorization of 43340

Prime factors of 43340 are 2, 5, 11, 197. Prime factorization of 43340 in exponential form is:

43340 = 22 × 51 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 43331 and 43340.

LCM(43331,43340) = 433311 × 22 × 51 × 111 × 1971
LCM(43331,43340) = 1877965540