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What is the Least Common Multiple of 6278 and 6282?

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 6278 and 6282 is 19719198.

LCM(6278,6282) = 19719198

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Least Common Multiple of 6278 and 6282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6278 and 6282, than apply into the LCM equation.

GCF(6278,6282) = 2
LCM(6278,6282) = ( 6278 × 6282) / 2
LCM(6278,6282) = 39438396 / 2
LCM(6278,6282) = 19719198

Least Common Multiple (LCM) of 6278 and 6282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6278 and 6282. First we will calculate the prime factors of 6278 and 6282.

Prime Factorization of 6278

Prime factors of 6278 are 2, 43, 73. Prime factorization of 6278 in exponential form is:

6278 = 21 × 431 × 731

Prime Factorization of 6282

Prime factors of 6282 are 2, 3, 349. Prime factorization of 6282 in exponential form is:

6282 = 21 × 32 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 6278 and 6282.

LCM(6278,6282) = 21 × 431 × 731 × 32 × 3491
LCM(6278,6282) = 19719198