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What is the Least Common Multiple of 8903 and 8918?

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 8903 and 8918 is 79396954.

LCM(8903,8918) = 79396954

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Least Common Multiple of 8903 and 8918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8903 and 8918, than apply into the LCM equation.

GCF(8903,8918) = 1
LCM(8903,8918) = ( 8903 × 8918) / 1
LCM(8903,8918) = 79396954 / 1
LCM(8903,8918) = 79396954

Least Common Multiple (LCM) of 8903 and 8918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8903 and 8918. First we will calculate the prime factors of 8903 and 8918.

Prime Factorization of 8903

Prime factors of 8903 are 29, 307. Prime factorization of 8903 in exponential form is:

8903 = 291 × 3071

Prime Factorization of 8918

Prime factors of 8918 are 2, 7, 13. Prime factorization of 8918 in exponential form is:

8918 = 21 × 73 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 8903 and 8918.

LCM(8903,8918) = 291 × 3071 × 21 × 73 × 131
LCM(8903,8918) = 79396954