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What is the Least Common Multiple of 10487 and 10502?

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 10502 is 110134474.

LCM(10487,10502) = 110134474

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Least Common Multiple of 10487 and 10502 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 10502, than apply into the LCM equation.

GCF(10487,10502) = 1
LCM(10487,10502) = ( 10487 × 10502) / 1
LCM(10487,10502) = 110134474 / 1
LCM(10487,10502) = 110134474

Least Common Multiple (LCM) of 10487 and 10502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10487 and 10502. First we will calculate the prime factors of 10487 and 10502.

Prime Factorization of 10487

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

10487 = 104871

Prime Factorization of 10502

Prime factors of 10502 are 2, 59, 89. Prime factorization of 10502 in exponential form is:

10502 = 21 × 591 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 10487 and 10502.

LCM(10487,10502) = 104871 × 21 × 591 × 891
LCM(10487,10502) = 110134474