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What is the Least Common Multiple of 8913 and 8917?

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 8913 and 8917 is 79477221.

LCM(8913,8917) = 79477221

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Least Common Multiple of 8913 and 8917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8913 and 8917, than apply into the LCM equation.

GCF(8913,8917) = 1
LCM(8913,8917) = ( 8913 × 8917) / 1
LCM(8913,8917) = 79477221 / 1
LCM(8913,8917) = 79477221

Least Common Multiple (LCM) of 8913 and 8917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8913 and 8917. First we will calculate the prime factors of 8913 and 8917.

Prime Factorization of 8913

Prime factors of 8913 are 3, 2971. Prime factorization of 8913 in exponential form is:

8913 = 31 × 29711

Prime Factorization of 8917

Prime factors of 8917 are 37, 241. Prime factorization of 8917 in exponential form is:

8917 = 371 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 8913 and 8917.

LCM(8913,8917) = 31 × 29711 × 371 × 2411
LCM(8913,8917) = 79477221