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What is the Least Common Multiple of 17453 and 17460?

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 17453 and 17460 is 304729380.

LCM(17453,17460) = 304729380

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Least Common Multiple of 17453 and 17460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17453 and 17460, than apply into the LCM equation.

GCF(17453,17460) = 1
LCM(17453,17460) = ( 17453 × 17460) / 1
LCM(17453,17460) = 304729380 / 1
LCM(17453,17460) = 304729380

Least Common Multiple (LCM) of 17453 and 17460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17453 and 17460. First we will calculate the prime factors of 17453 and 17460.

Prime Factorization of 17453

Prime factors of 17453 are 31, 563. Prime factorization of 17453 in exponential form is:

17453 = 311 × 5631

Prime Factorization of 17460

Prime factors of 17460 are 2, 3, 5, 97. Prime factorization of 17460 in exponential form is:

17460 = 22 × 32 × 51 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 17453 and 17460.

LCM(17453,17460) = 311 × 5631 × 22 × 32 × 51 × 971
LCM(17453,17460) = 304729380