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What is the Least Common Multiple of 23636 and 23651?

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 23636 and 23651 is 559015036.

LCM(23636,23651) = 559015036

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Least Common Multiple of 23636 and 23651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23636 and 23651, than apply into the LCM equation.

GCF(23636,23651) = 1
LCM(23636,23651) = ( 23636 × 23651) / 1
LCM(23636,23651) = 559015036 / 1
LCM(23636,23651) = 559015036

Least Common Multiple (LCM) of 23636 and 23651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23636 and 23651. First we will calculate the prime factors of 23636 and 23651.

Prime Factorization of 23636

Prime factors of 23636 are 2, 19, 311. Prime factorization of 23636 in exponential form is:

23636 = 22 × 191 × 3111

Prime Factorization of 23651

Prime factors of 23651 are 67, 353. Prime factorization of 23651 in exponential form is:

23651 = 671 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 23636 and 23651.

LCM(23636,23651) = 22 × 191 × 3111 × 671 × 3531
LCM(23636,23651) = 559015036