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What is the Least Common Multiple of 17379 and 17395?

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 17379 and 17395 is 302307705.

LCM(17379,17395) = 302307705

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Least Common Multiple of 17379 and 17395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17379 and 17395, than apply into the LCM equation.

GCF(17379,17395) = 1
LCM(17379,17395) = ( 17379 × 17395) / 1
LCM(17379,17395) = 302307705 / 1
LCM(17379,17395) = 302307705

Least Common Multiple (LCM) of 17379 and 17395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17379 and 17395. First we will calculate the prime factors of 17379 and 17395.

Prime Factorization of 17379

Prime factors of 17379 are 3, 1931. Prime factorization of 17379 in exponential form is:

17379 = 32 × 19311

Prime Factorization of 17395

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

17395 = 51 × 72 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17379 and 17395.

LCM(17379,17395) = 32 × 19311 × 51 × 72 × 711
LCM(17379,17395) = 302307705