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What is the Least Common Multiple of 6373 and 6387?

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 6373 and 6387 is 40704351.

LCM(6373,6387) = 40704351

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Least Common Multiple of 6373 and 6387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6373 and 6387, than apply into the LCM equation.

GCF(6373,6387) = 1
LCM(6373,6387) = ( 6373 × 6387) / 1
LCM(6373,6387) = 40704351 / 1
LCM(6373,6387) = 40704351

Least Common Multiple (LCM) of 6373 and 6387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6373 and 6387. First we will calculate the prime factors of 6373 and 6387.

Prime Factorization of 6373

Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:

6373 = 63731

Prime Factorization of 6387

Prime factors of 6387 are 3, 2129. Prime factorization of 6387 in exponential form is:

6387 = 31 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 6373 and 6387.

LCM(6373,6387) = 63731 × 31 × 21291
LCM(6373,6387) = 40704351