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What is the Least Common Multiple of 23616 and 23630?

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 23616 and 23630 is 279023040.

LCM(23616,23630) = 279023040

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Least Common Multiple of 23616 and 23630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23616 and 23630, than apply into the LCM equation.

GCF(23616,23630) = 2
LCM(23616,23630) = ( 23616 × 23630) / 2
LCM(23616,23630) = 558046080 / 2
LCM(23616,23630) = 279023040

Least Common Multiple (LCM) of 23616 and 23630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23616 and 23630. First we will calculate the prime factors of 23616 and 23630.

Prime Factorization of 23616

Prime factors of 23616 are 2, 3, 41. Prime factorization of 23616 in exponential form is:

23616 = 26 × 32 × 411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 23616 and 23630.

LCM(23616,23630) = 26 × 32 × 411 × 51 × 171 × 1391
LCM(23616,23630) = 279023040