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What is the Least Common Multiple of 43368 and 43387?

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 43368 and 43387 is 1881607416.

LCM(43368,43387) = 1881607416

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Least Common Multiple of 43368 and 43387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43368 and 43387, than apply into the LCM equation.

GCF(43368,43387) = 1
LCM(43368,43387) = ( 43368 × 43387) / 1
LCM(43368,43387) = 1881607416 / 1
LCM(43368,43387) = 1881607416

Least Common Multiple (LCM) of 43368 and 43387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43368 and 43387. First we will calculate the prime factors of 43368 and 43387.

Prime Factorization of 43368

Prime factors of 43368 are 2, 3, 13, 139. Prime factorization of 43368 in exponential form is:

43368 = 23 × 31 × 131 × 1391

Prime Factorization of 43387

Prime factors of 43387 are 43, 1009. Prime factorization of 43387 in exponential form is:

43387 = 431 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 43368 and 43387.

LCM(43368,43387) = 23 × 31 × 131 × 1391 × 431 × 10091
LCM(43368,43387) = 1881607416