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What is the Least Common Multiple of 47903 and 47917?

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 47903 and 47917 is 2295368051.

LCM(47903,47917) = 2295368051

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Least Common Multiple of 47903 and 47917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47903 and 47917, than apply into the LCM equation.

GCF(47903,47917) = 1
LCM(47903,47917) = ( 47903 × 47917) / 1
LCM(47903,47917) = 2295368051 / 1
LCM(47903,47917) = 2295368051

Least Common Multiple (LCM) of 47903 and 47917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47903 and 47917. First we will calculate the prime factors of 47903 and 47917.

Prime Factorization of 47903

Prime factors of 47903 are 47903. Prime factorization of 47903 in exponential form is:

47903 = 479031

Prime Factorization of 47917

Prime factors of 47917 are 47917. Prime factorization of 47917 in exponential form is:

47917 = 479171

Now multiplying the highest exponent prime factors to calculate the LCM of 47903 and 47917.

LCM(47903,47917) = 479031 × 479171
LCM(47903,47917) = 2295368051