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What is the Least Common Multiple of 6348 and 6367?

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 6348 and 6367 is 40417716.

LCM(6348,6367) = 40417716

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Least Common Multiple of 6348 and 6367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6348 and 6367, than apply into the LCM equation.

GCF(6348,6367) = 1
LCM(6348,6367) = ( 6348 × 6367) / 1
LCM(6348,6367) = 40417716 / 1
LCM(6348,6367) = 40417716

Least Common Multiple (LCM) of 6348 and 6367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6367. First we will calculate the prime factors of 6348 and 6367.

Prime Factorization of 6348

Prime factors of 6348 are 2, 3, 23. Prime factorization of 6348 in exponential form is:

6348 = 22 × 31 × 232

Prime Factorization of 6367

Prime factors of 6367 are 6367. Prime factorization of 6367 in exponential form is:

6367 = 63671

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6367.

LCM(6348,6367) = 22 × 31 × 232 × 63671
LCM(6348,6367) = 40417716