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What is the Least Common Multiple of 43397 and 43402?

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 43397 and 43402 is 1883516594.

LCM(43397,43402) = 1883516594

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Least Common Multiple of 43397 and 43402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43397 and 43402, than apply into the LCM equation.

GCF(43397,43402) = 1
LCM(43397,43402) = ( 43397 × 43402) / 1
LCM(43397,43402) = 1883516594 / 1
LCM(43397,43402) = 1883516594

Least Common Multiple (LCM) of 43397 and 43402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43397 and 43402. First we will calculate the prime factors of 43397 and 43402.

Prime Factorization of 43397

Prime factors of 43397 are 43397. Prime factorization of 43397 in exponential form is:

43397 = 433971

Prime Factorization of 43402

Prime factors of 43402 are 2, 21701. Prime factorization of 43402 in exponential form is:

43402 = 21 × 217011

Now multiplying the highest exponent prime factors to calculate the LCM of 43397 and 43402.

LCM(43397,43402) = 433971 × 21 × 217011
LCM(43397,43402) = 1883516594