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What is the Least Common Multiple of 23036 and 23051?

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 23036 and 23051 is 531002836.

LCM(23036,23051) = 531002836

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Least Common Multiple of 23036 and 23051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23036 and 23051, than apply into the LCM equation.

GCF(23036,23051) = 1
LCM(23036,23051) = ( 23036 × 23051) / 1
LCM(23036,23051) = 531002836 / 1
LCM(23036,23051) = 531002836

Least Common Multiple (LCM) of 23036 and 23051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23036 and 23051. First we will calculate the prime factors of 23036 and 23051.

Prime Factorization of 23036

Prime factors of 23036 are 2, 13, 443. Prime factorization of 23036 in exponential form is:

23036 = 22 × 131 × 4431

Prime Factorization of 23051

Prime factors of 23051 are 7, 37, 89. Prime factorization of 23051 in exponential form is:

23051 = 71 × 371 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 23036 and 23051.

LCM(23036,23051) = 22 × 131 × 4431 × 71 × 371 × 891
LCM(23036,23051) = 531002836