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What is the Least Common Multiple of 17234 and 17240?

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 17234 and 17240 is 148557080.

LCM(17234,17240) = 148557080

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Least Common Multiple of 17234 and 17240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17234 and 17240, than apply into the LCM equation.

GCF(17234,17240) = 2
LCM(17234,17240) = ( 17234 × 17240) / 2
LCM(17234,17240) = 297114160 / 2
LCM(17234,17240) = 148557080

Least Common Multiple (LCM) of 17234 and 17240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17240. First we will calculate the prime factors of 17234 and 17240.

Prime Factorization of 17234

Prime factors of 17234 are 2, 7, 1231. Prime factorization of 17234 in exponential form is:

17234 = 21 × 71 × 12311

Prime Factorization of 17240

Prime factors of 17240 are 2, 5, 431. Prime factorization of 17240 in exponential form is:

17240 = 23 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 17234 and 17240.

LCM(17234,17240) = 23 × 71 × 12311 × 51 × 4311
LCM(17234,17240) = 148557080