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What is the Least Common Multiple of 47287 and 47303?

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 47287 and 47303 is 2236816961.

LCM(47287,47303) = 2236816961

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Least Common Multiple of 47287 and 47303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47287 and 47303, than apply into the LCM equation.

GCF(47287,47303) = 1
LCM(47287,47303) = ( 47287 × 47303) / 1
LCM(47287,47303) = 2236816961 / 1
LCM(47287,47303) = 2236816961

Least Common Multiple (LCM) of 47287 and 47303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47287 and 47303. First we will calculate the prime factors of 47287 and 47303.

Prime Factorization of 47287

Prime factors of 47287 are 47287. Prime factorization of 47287 in exponential form is:

47287 = 472871

Prime Factorization of 47303

Prime factors of 47303 are 47303. Prime factorization of 47303 in exponential form is:

47303 = 473031

Now multiplying the highest exponent prime factors to calculate the LCM of 47287 and 47303.

LCM(47287,47303) = 472871 × 473031
LCM(47287,47303) = 2236816961