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What is the Least Common Multiple of 13217 and 13236?

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 13217 and 13236 is 174940212.

LCM(13217,13236) = 174940212

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Least Common Multiple of 13217 and 13236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13217 and 13236, than apply into the LCM equation.

GCF(13217,13236) = 1
LCM(13217,13236) = ( 13217 × 13236) / 1
LCM(13217,13236) = 174940212 / 1
LCM(13217,13236) = 174940212

Least Common Multiple (LCM) of 13217 and 13236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13217 and 13236. First we will calculate the prime factors of 13217 and 13236.

Prime Factorization of 13217

Prime factors of 13217 are 13217. Prime factorization of 13217 in exponential form is:

13217 = 132171

Prime Factorization of 13236

Prime factors of 13236 are 2, 3, 1103. Prime factorization of 13236 in exponential form is:

13236 = 22 × 31 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 13217 and 13236.

LCM(13217,13236) = 132171 × 22 × 31 × 11031
LCM(13217,13236) = 174940212