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What is the Least Common Multiple of 10472 and 10488?

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 10472 and 10488 is 13728792.

LCM(10472,10488) = 13728792

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Least Common Multiple of 10472 and 10488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10472 and 10488, than apply into the LCM equation.

GCF(10472,10488) = 8
LCM(10472,10488) = ( 10472 × 10488) / 8
LCM(10472,10488) = 109830336 / 8
LCM(10472,10488) = 13728792

Least Common Multiple (LCM) of 10472 and 10488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10472 and 10488. First we will calculate the prime factors of 10472 and 10488.

Prime Factorization of 10472

Prime factors of 10472 are 2, 7, 11, 17. Prime factorization of 10472 in exponential form is:

10472 = 23 × 71 × 111 × 171

Prime Factorization of 10488

Prime factors of 10488 are 2, 3, 19, 23. Prime factorization of 10488 in exponential form is:

10488 = 23 × 31 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 10472 and 10488.

LCM(10472,10488) = 23 × 71 × 111 × 171 × 31 × 191 × 231
LCM(10472,10488) = 13728792