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What is the Least Common Multiple of 13210 and 13221?

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 13210 and 13221 is 174649410.

LCM(13210,13221) = 174649410

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Least Common Multiple of 13210 and 13221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13210 and 13221, than apply into the LCM equation.

GCF(13210,13221) = 1
LCM(13210,13221) = ( 13210 × 13221) / 1
LCM(13210,13221) = 174649410 / 1
LCM(13210,13221) = 174649410

Least Common Multiple (LCM) of 13210 and 13221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13210 and 13221. First we will calculate the prime factors of 13210 and 13221.

Prime Factorization of 13210

Prime factors of 13210 are 2, 5, 1321. Prime factorization of 13210 in exponential form is:

13210 = 21 × 51 × 13211

Prime Factorization of 13221

Prime factors of 13221 are 3, 13, 113. Prime factorization of 13221 in exponential form is:

13221 = 32 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 13210 and 13221.

LCM(13210,13221) = 21 × 51 × 13211 × 32 × 131 × 1131
LCM(13210,13221) = 174649410