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What is the Least Common Multiple of 13410 and 13417?

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 13410 and 13417 is 179921970.

LCM(13410,13417) = 179921970

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Least Common Multiple of 13410 and 13417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13410 and 13417, than apply into the LCM equation.

GCF(13410,13417) = 1
LCM(13410,13417) = ( 13410 × 13417) / 1
LCM(13410,13417) = 179921970 / 1
LCM(13410,13417) = 179921970

Least Common Multiple (LCM) of 13410 and 13417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13410 and 13417. First we will calculate the prime factors of 13410 and 13417.

Prime Factorization of 13410

Prime factors of 13410 are 2, 3, 5, 149. Prime factorization of 13410 in exponential form is:

13410 = 21 × 32 × 51 × 1491

Prime Factorization of 13417

Prime factors of 13417 are 13417. Prime factorization of 13417 in exponential form is:

13417 = 134171

Now multiplying the highest exponent prime factors to calculate the LCM of 13410 and 13417.

LCM(13410,13417) = 21 × 32 × 51 × 1491 × 134171
LCM(13410,13417) = 179921970