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What is the Least Common Multiple of 17199 and 17212?

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 17199 and 17212 is 22771476.

LCM(17199,17212) = 22771476

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Least Common Multiple of 17199 and 17212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17199 and 17212, than apply into the LCM equation.

GCF(17199,17212) = 13
LCM(17199,17212) = ( 17199 × 17212) / 13
LCM(17199,17212) = 296029188 / 13
LCM(17199,17212) = 22771476

Least Common Multiple (LCM) of 17199 and 17212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17199 and 17212. First we will calculate the prime factors of 17199 and 17212.

Prime Factorization of 17199

Prime factors of 17199 are 3, 7, 13. Prime factorization of 17199 in exponential form is:

17199 = 33 × 72 × 131

Prime Factorization of 17212

Prime factors of 17212 are 2, 13, 331. Prime factorization of 17212 in exponential form is:

17212 = 22 × 131 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 17199 and 17212.

LCM(17199,17212) = 33 × 72 × 131 × 22 × 3311
LCM(17199,17212) = 22771476