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What is the Least Common Multiple of 6328 and 6348?

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 6328 and 6348 is 10042536.

LCM(6328,6348) = 10042536

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Least Common Multiple of 6328 and 6348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6328 and 6348, than apply into the LCM equation.

GCF(6328,6348) = 4
LCM(6328,6348) = ( 6328 × 6348) / 4
LCM(6328,6348) = 40170144 / 4
LCM(6328,6348) = 10042536

Least Common Multiple (LCM) of 6328 and 6348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6328 and 6348. First we will calculate the prime factors of 6328 and 6348.

Prime Factorization of 6328

Prime factors of 6328 are 2, 7, 113. Prime factorization of 6328 in exponential form is:

6328 = 23 × 71 × 1131

Prime Factorization of 6348

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

6348 = 22 × 31 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 6328 and 6348.

LCM(6328,6348) = 23 × 71 × 1131 × 31 × 232
LCM(6328,6348) = 10042536