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What is the Least Common Multiple of 6260 and 6266?

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 6260 and 6266 is 19612580.

LCM(6260,6266) = 19612580

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Least Common Multiple of 6260 and 6266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6260 and 6266, than apply into the LCM equation.

GCF(6260,6266) = 2
LCM(6260,6266) = ( 6260 × 6266) / 2
LCM(6260,6266) = 39225160 / 2
LCM(6260,6266) = 19612580

Least Common Multiple (LCM) of 6260 and 6266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6260 and 6266. First we will calculate the prime factors of 6260 and 6266.

Prime Factorization of 6260

Prime factors of 6260 are 2, 5, 313. Prime factorization of 6260 in exponential form is:

6260 = 22 × 51 × 3131

Prime Factorization of 6266

Prime factors of 6266 are 2, 13, 241. Prime factorization of 6266 in exponential form is:

6266 = 21 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6260 and 6266.

LCM(6260,6266) = 22 × 51 × 3131 × 131 × 2411
LCM(6260,6266) = 19612580