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What is the Least Common Multiple of 39902 and 39917?

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 39902 and 39917 is 1592768134.

LCM(39902,39917) = 1592768134

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Least Common Multiple of 39902 and 39917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39902 and 39917, than apply into the LCM equation.

GCF(39902,39917) = 1
LCM(39902,39917) = ( 39902 × 39917) / 1
LCM(39902,39917) = 1592768134 / 1
LCM(39902,39917) = 1592768134

Least Common Multiple (LCM) of 39902 and 39917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39902 and 39917. First we will calculate the prime factors of 39902 and 39917.

Prime Factorization of 39902

Prime factors of 39902 are 2, 71, 281. Prime factorization of 39902 in exponential form is:

39902 = 21 × 711 × 2811

Prime Factorization of 39917

Prime factors of 39917 are 179, 223. Prime factorization of 39917 in exponential form is:

39917 = 1791 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 39902 and 39917.

LCM(39902,39917) = 21 × 711 × 2811 × 1791 × 2231
LCM(39902,39917) = 1592768134