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What is the Least Common Multiple of 47087 and 47095?

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 47087 and 47095 is 2217562265.

LCM(47087,47095) = 2217562265

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Least Common Multiple of 47087 and 47095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47087 and 47095, than apply into the LCM equation.

GCF(47087,47095) = 1
LCM(47087,47095) = ( 47087 × 47095) / 1
LCM(47087,47095) = 2217562265 / 1
LCM(47087,47095) = 2217562265

Least Common Multiple (LCM) of 47087 and 47095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47087 and 47095. First we will calculate the prime factors of 47087 and 47095.

Prime Factorization of 47087

Prime factors of 47087 are 47087. Prime factorization of 47087 in exponential form is:

47087 = 470871

Prime Factorization of 47095

Prime factors of 47095 are 5, 9419. Prime factorization of 47095 in exponential form is:

47095 = 51 × 94191

Now multiplying the highest exponent prime factors to calculate the LCM of 47087 and 47095.

LCM(47087,47095) = 470871 × 51 × 94191
LCM(47087,47095) = 2217562265