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What is the Least Common Multiple of 8103 and 8116?

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 8103 and 8116 is 65763948.

LCM(8103,8116) = 65763948

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Least Common Multiple of 8103 and 8116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8103 and 8116, than apply into the LCM equation.

GCF(8103,8116) = 1
LCM(8103,8116) = ( 8103 × 8116) / 1
LCM(8103,8116) = 65763948 / 1
LCM(8103,8116) = 65763948

Least Common Multiple (LCM) of 8103 and 8116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8103 and 8116. First we will calculate the prime factors of 8103 and 8116.

Prime Factorization of 8103

Prime factors of 8103 are 3, 37, 73. Prime factorization of 8103 in exponential form is:

8103 = 31 × 371 × 731

Prime Factorization of 8116

Prime factors of 8116 are 2, 2029. Prime factorization of 8116 in exponential form is:

8116 = 22 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 8103 and 8116.

LCM(8103,8116) = 31 × 371 × 731 × 22 × 20291
LCM(8103,8116) = 65763948