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What is the Least Common Multiple of 49267 and 49281?

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 49267 and 49281 is 2427927027.

LCM(49267,49281) = 2427927027

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Least Common Multiple of 49267 and 49281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49267 and 49281, than apply into the LCM equation.

GCF(49267,49281) = 1
LCM(49267,49281) = ( 49267 × 49281) / 1
LCM(49267,49281) = 2427927027 / 1
LCM(49267,49281) = 2427927027

Least Common Multiple (LCM) of 49267 and 49281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49267 and 49281. First we will calculate the prime factors of 49267 and 49281.

Prime Factorization of 49267

Prime factors of 49267 are 19, 2593. Prime factorization of 49267 in exponential form is:

49267 = 191 × 25931

Prime Factorization of 49281

Prime factors of 49281 are 3, 16427. Prime factorization of 49281 in exponential form is:

49281 = 31 × 164271

Now multiplying the highest exponent prime factors to calculate the LCM of 49267 and 49281.

LCM(49267,49281) = 191 × 25931 × 31 × 164271
LCM(49267,49281) = 2427927027