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What is the Least Common Multiple of 6268 and 6278?

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 6268 and 6278 is 19675252.

LCM(6268,6278) = 19675252

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Least Common Multiple of 6268 and 6278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6268 and 6278, than apply into the LCM equation.

GCF(6268,6278) = 2
LCM(6268,6278) = ( 6268 × 6278) / 2
LCM(6268,6278) = 39350504 / 2
LCM(6268,6278) = 19675252

Least Common Multiple (LCM) of 6268 and 6278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6268 and 6278. First we will calculate the prime factors of 6268 and 6278.

Prime Factorization of 6268

Prime factors of 6268 are 2, 1567. Prime factorization of 6268 in exponential form is:

6268 = 22 × 15671

Prime Factorization of 6278

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

6278 = 21 × 431 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 6268 and 6278.

LCM(6268,6278) = 22 × 15671 × 431 × 731
LCM(6268,6278) = 19675252