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What is the Least Common Multiple of 23630 and 23640?

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 23630 and 23640 is 55861320.

LCM(23630,23640) = 55861320

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Least Common Multiple of 23630 and 23640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23630 and 23640, than apply into the LCM equation.

GCF(23630,23640) = 10
LCM(23630,23640) = ( 23630 × 23640) / 10
LCM(23630,23640) = 558613200 / 10
LCM(23630,23640) = 55861320

Least Common Multiple (LCM) of 23630 and 23640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23630 and 23640. First we will calculate the prime factors of 23630 and 23640.

Prime Factorization of 23630

Prime factors of 23630 are 2, 5, 17, 139. Prime factorization of 23630 in exponential form is:

23630 = 21 × 51 × 171 × 1391

Prime Factorization of 23640

Prime factors of 23640 are 2, 3, 5, 197. Prime factorization of 23640 in exponential form is:

23640 = 23 × 31 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 23630 and 23640.

LCM(23630,23640) = 23 × 51 × 171 × 1391 × 31 × 1971
LCM(23630,23640) = 55861320