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What is the Least Common Multiple of 10413 and 10417?

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 10413 and 10417 is 108472221.

LCM(10413,10417) = 108472221

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Least Common Multiple of 10413 and 10417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10413 and 10417, than apply into the LCM equation.

GCF(10413,10417) = 1
LCM(10413,10417) = ( 10413 × 10417) / 1
LCM(10413,10417) = 108472221 / 1
LCM(10413,10417) = 108472221

Least Common Multiple (LCM) of 10413 and 10417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10413 and 10417. First we will calculate the prime factors of 10413 and 10417.

Prime Factorization of 10413

Prime factors of 10413 are 3, 13, 89. Prime factorization of 10413 in exponential form is:

10413 = 32 × 131 × 891

Prime Factorization of 10417

Prime factors of 10417 are 11, 947. Prime factorization of 10417 in exponential form is:

10417 = 111 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 10413 and 10417.

LCM(10413,10417) = 32 × 131 × 891 × 111 × 9471
LCM(10413,10417) = 108472221