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What is the Least Common Multiple of 8090 and 8103?

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 8090 and 8103 is 65553270.

LCM(8090,8103) = 65553270

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Least Common Multiple of 8090 and 8103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8090 and 8103, than apply into the LCM equation.

GCF(8090,8103) = 1
LCM(8090,8103) = ( 8090 × 8103) / 1
LCM(8090,8103) = 65553270 / 1
LCM(8090,8103) = 65553270

Least Common Multiple (LCM) of 8090 and 8103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8103. First we will calculate the prime factors of 8090 and 8103.

Prime Factorization of 8090

Prime factors of 8090 are 2, 5, 809. Prime factorization of 8090 in exponential form is:

8090 = 21 × 51 × 8091

Prime Factorization of 8103

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

8103 = 31 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 8090 and 8103.

LCM(8090,8103) = 21 × 51 × 8091 × 31 × 371 × 731
LCM(8090,8103) = 65553270