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What is the Least Common Multiple of 43337 and 43347?

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 43337 and 43347 is 1878528939.

LCM(43337,43347) = 1878528939

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Least Common Multiple of 43337 and 43347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43337 and 43347, than apply into the LCM equation.

GCF(43337,43347) = 1
LCM(43337,43347) = ( 43337 × 43347) / 1
LCM(43337,43347) = 1878528939 / 1
LCM(43337,43347) = 1878528939

Least Common Multiple (LCM) of 43337 and 43347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43337 and 43347. First we will calculate the prime factors of 43337 and 43347.

Prime Factorization of 43337

Prime factors of 43337 are 7, 41, 151. Prime factorization of 43337 in exponential form is:

43337 = 71 × 411 × 1511

Prime Factorization of 43347

Prime factors of 43347 are 3, 14449. Prime factorization of 43347 in exponential form is:

43347 = 31 × 144491

Now multiplying the highest exponent prime factors to calculate the LCM of 43337 and 43347.

LCM(43337,43347) = 71 × 411 × 1511 × 31 × 144491
LCM(43337,43347) = 1878528939