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What is the Least Common Multiple of 17463 and 17472?

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 17463 and 17472 is 101704512.

LCM(17463,17472) = 101704512

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Least Common Multiple of 17463 and 17472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17463 and 17472, than apply into the LCM equation.

GCF(17463,17472) = 3
LCM(17463,17472) = ( 17463 × 17472) / 3
LCM(17463,17472) = 305113536 / 3
LCM(17463,17472) = 101704512

Least Common Multiple (LCM) of 17463 and 17472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17463 and 17472. First we will calculate the prime factors of 17463 and 17472.

Prime Factorization of 17463

Prime factors of 17463 are 3, 5821. Prime factorization of 17463 in exponential form is:

17463 = 31 × 58211

Prime Factorization of 17472

Prime factors of 17472 are 2, 3, 7, 13. Prime factorization of 17472 in exponential form is:

17472 = 26 × 31 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 17463 and 17472.

LCM(17463,17472) = 31 × 58211 × 26 × 71 × 131
LCM(17463,17472) = 101704512