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What is the Least Common Multiple of 13202 and 13216?

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 13202 and 13216 is 12462688.

LCM(13202,13216) = 12462688

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Least Common Multiple of 13202 and 13216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13202 and 13216, than apply into the LCM equation.

GCF(13202,13216) = 14
LCM(13202,13216) = ( 13202 × 13216) / 14
LCM(13202,13216) = 174477632 / 14
LCM(13202,13216) = 12462688

Least Common Multiple (LCM) of 13202 and 13216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13202 and 13216. First we will calculate the prime factors of 13202 and 13216.

Prime Factorization of 13202

Prime factors of 13202 are 2, 7, 23, 41. Prime factorization of 13202 in exponential form is:

13202 = 21 × 71 × 231 × 411

Prime Factorization of 13216

Prime factors of 13216 are 2, 7, 59. Prime factorization of 13216 in exponential form is:

13216 = 25 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 13202 and 13216.

LCM(13202,13216) = 25 × 71 × 231 × 411 × 591
LCM(13202,13216) = 12462688