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What is the Least Common Multiple of 6291 and 6298?

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 6291 and 6298 is 39620718.

LCM(6291,6298) = 39620718

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Least Common Multiple of 6291 and 6298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6291 and 6298, than apply into the LCM equation.

GCF(6291,6298) = 1
LCM(6291,6298) = ( 6291 × 6298) / 1
LCM(6291,6298) = 39620718 / 1
LCM(6291,6298) = 39620718

Least Common Multiple (LCM) of 6291 and 6298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6298. First we will calculate the prime factors of 6291 and 6298.

Prime Factorization of 6291

Prime factors of 6291 are 3, 233. Prime factorization of 6291 in exponential form is:

6291 = 33 × 2331

Prime Factorization of 6298

Prime factors of 6298 are 2, 47, 67. Prime factorization of 6298 in exponential form is:

6298 = 21 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6298.

LCM(6291,6298) = 33 × 2331 × 21 × 471 × 671
LCM(6291,6298) = 39620718