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What is the Least Common Multiple of 10487 and 10496?

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 10487 and 10496 is 110071552.

LCM(10487,10496) = 110071552

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Least Common Multiple of 10487 and 10496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10487 and 10496, than apply into the LCM equation.

GCF(10487,10496) = 1
LCM(10487,10496) = ( 10487 × 10496) / 1
LCM(10487,10496) = 110071552 / 1
LCM(10487,10496) = 110071552

Least Common Multiple (LCM) of 10487 and 10496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10487 and 10496. First we will calculate the prime factors of 10487 and 10496.

Prime Factorization of 10487

Prime factors of 10487 are 10487. Prime factorization of 10487 in exponential form is:

10487 = 104871

Prime Factorization of 10496

Prime factors of 10496 are 2, 41. Prime factorization of 10496 in exponential form is:

10496 = 28 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10487 and 10496.

LCM(10487,10496) = 104871 × 28 × 411
LCM(10487,10496) = 110071552