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What is the Least Common Multiple of 13602 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 13602 and 13616 is 92602416.

LCM(13602,13616) = 92602416

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Least Common Multiple of 13602 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 13602 and 13616, than apply into the LCM equation.

GCF(13602,13616) = 2
LCM(13602,13616) = ( 13602 × 13616) / 2
LCM(13602,13616) = 185204832 / 2
LCM(13602,13616) = 92602416

Least Common Multiple (LCM) of 13602 and 13616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13602 and 13616. First we will calculate the prime factors of 13602 and 13616.

Prime Factorization of 13602

Prime factors of 13602 are 2, 3, 2267. Prime factorization of 13602 in exponential form is:

13602 = 21 × 31 × 22671

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 13602 and 13616.

LCM(13602,13616) = 24 × 31 × 22671 × 231 × 371
LCM(13602,13616) = 92602416