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What is the Least Common Multiple of 17395 and 17413?

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 17395 and 17413 is 302899135.

LCM(17395,17413) = 302899135

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Least Common Multiple of 17395 and 17413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17395 and 17413, than apply into the LCM equation.

GCF(17395,17413) = 1
LCM(17395,17413) = ( 17395 × 17413) / 1
LCM(17395,17413) = 302899135 / 1
LCM(17395,17413) = 302899135

Least Common Multiple (LCM) of 17395 and 17413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17395 and 17413. First we will calculate the prime factors of 17395 and 17413.

Prime Factorization of 17395

Prime factors of 17395 are 5, 7, 71. Prime factorization of 17395 in exponential form is:

17395 = 51 × 72 × 711

Prime Factorization of 17413

Prime factors of 17413 are 11, 1583. Prime factorization of 17413 in exponential form is:

17413 = 111 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 17395 and 17413.

LCM(17395,17413) = 51 × 72 × 711 × 111 × 15831
LCM(17395,17413) = 302899135