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What is the Least Common Multiple of 17095 and 17100?

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 17095 and 17100 is 58464900.

LCM(17095,17100) = 58464900

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Least Common Multiple of 17095 and 17100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17095 and 17100, than apply into the LCM equation.

GCF(17095,17100) = 5
LCM(17095,17100) = ( 17095 × 17100) / 5
LCM(17095,17100) = 292324500 / 5
LCM(17095,17100) = 58464900

Least Common Multiple (LCM) of 17095 and 17100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17095 and 17100. First we will calculate the prime factors of 17095 and 17100.

Prime Factorization of 17095

Prime factors of 17095 are 5, 13, 263. Prime factorization of 17095 in exponential form is:

17095 = 51 × 131 × 2631

Prime Factorization of 17100

Prime factors of 17100 are 2, 3, 5, 19. Prime factorization of 17100 in exponential form is:

17100 = 22 × 32 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 17095 and 17100.

LCM(17095,17100) = 52 × 131 × 2631 × 22 × 32 × 191
LCM(17095,17100) = 58464900