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What is the Least Common Multiple of 6261 and 6274?

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 6261 and 6274 is 39281514.

LCM(6261,6274) = 39281514

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Least Common Multiple of 6261 and 6274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6261 and 6274, than apply into the LCM equation.

GCF(6261,6274) = 1
LCM(6261,6274) = ( 6261 × 6274) / 1
LCM(6261,6274) = 39281514 / 1
LCM(6261,6274) = 39281514

Least Common Multiple (LCM) of 6261 and 6274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6261 and 6274. First we will calculate the prime factors of 6261 and 6274.

Prime Factorization of 6261

Prime factors of 6261 are 3, 2087. Prime factorization of 6261 in exponential form is:

6261 = 31 × 20871

Prime Factorization of 6274

Prime factors of 6274 are 2, 3137. Prime factorization of 6274 in exponential form is:

6274 = 21 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 6261 and 6274.

LCM(6261,6274) = 31 × 20871 × 21 × 31371
LCM(6261,6274) = 39281514