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What is the Least Common Multiple of 6369 and 6377?

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 6369 and 6377 is 40615113.

LCM(6369,6377) = 40615113

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Least Common Multiple of 6369 and 6377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6369 and 6377, than apply into the LCM equation.

GCF(6369,6377) = 1
LCM(6369,6377) = ( 6369 × 6377) / 1
LCM(6369,6377) = 40615113 / 1
LCM(6369,6377) = 40615113

Least Common Multiple (LCM) of 6369 and 6377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6369 and 6377. First we will calculate the prime factors of 6369 and 6377.

Prime Factorization of 6369

Prime factors of 6369 are 3, 11, 193. Prime factorization of 6369 in exponential form is:

6369 = 31 × 111 × 1931

Prime Factorization of 6377

Prime factors of 6377 are 7, 911. Prime factorization of 6377 in exponential form is:

6377 = 71 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 6369 and 6377.

LCM(6369,6377) = 31 × 111 × 1931 × 71 × 9111
LCM(6369,6377) = 40615113