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What is the Least Common Multiple of 8103 and 8118?

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 8118 is 21926718.

LCM(8103,8118) = 21926718

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Least Common Multiple of 8103 and 8118 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 8118, than apply into the LCM equation.

GCF(8103,8118) = 3
LCM(8103,8118) = ( 8103 × 8118) / 3
LCM(8103,8118) = 65780154 / 3
LCM(8103,8118) = 21926718

Least Common Multiple (LCM) of 8103 and 8118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8103 and 8118. First we will calculate the prime factors of 8103 and 8118.

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 8118

Prime factors of 8118 are 2, 3, 11, 41. Prime factorization of 8118 in exponential form is:

8118 = 21 × 32 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8103 and 8118.

LCM(8103,8118) = 32 × 371 × 731 × 21 × 111 × 411
LCM(8103,8118) = 21926718