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What is the Least Common Multiple of 13610 and 13616?

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 13610 and 13616 is 92656880.

LCM(13610,13616) = 92656880

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Least Common Multiple of 13610 and 13616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13610 and 13616, than apply into the LCM equation.

GCF(13610,13616) = 2
LCM(13610,13616) = ( 13610 × 13616) / 2
LCM(13610,13616) = 185313760 / 2
LCM(13610,13616) = 92656880

Least Common Multiple (LCM) of 13610 and 13616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13610 and 13616. First we will calculate the prime factors of 13610 and 13616.

Prime Factorization of 13610

Prime factors of 13610 are 2, 5, 1361. Prime factorization of 13610 in exponential form is:

13610 = 21 × 51 × 13611

Prime Factorization of 13616

Prime factors of 13616 are 2, 23, 37. Prime factorization of 13616 in exponential form is:

13616 = 24 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 13610 and 13616.

LCM(13610,13616) = 24 × 51 × 13611 × 231 × 371
LCM(13610,13616) = 92656880