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What is the Least Common Multiple of 6276 and 6283?

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 6276 and 6283 is 39432108.

LCM(6276,6283) = 39432108

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Least Common Multiple of 6276 and 6283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6276 and 6283, than apply into the LCM equation.

GCF(6276,6283) = 1
LCM(6276,6283) = ( 6276 × 6283) / 1
LCM(6276,6283) = 39432108 / 1
LCM(6276,6283) = 39432108

Least Common Multiple (LCM) of 6276 and 6283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6276 and 6283. First we will calculate the prime factors of 6276 and 6283.

Prime Factorization of 6276

Prime factors of 6276 are 2, 3, 523. Prime factorization of 6276 in exponential form is:

6276 = 22 × 31 × 5231

Prime Factorization of 6283

Prime factors of 6283 are 61, 103. Prime factorization of 6283 in exponential form is:

6283 = 611 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6276 and 6283.

LCM(6276,6283) = 22 × 31 × 5231 × 611 × 1031
LCM(6276,6283) = 39432108