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What is the Least Common Multiple of 10489 and 10497?

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 10489 and 10497 is 110103033.

LCM(10489,10497) = 110103033

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Least Common Multiple of 10489 and 10497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10489 and 10497, than apply into the LCM equation.

GCF(10489,10497) = 1
LCM(10489,10497) = ( 10489 × 10497) / 1
LCM(10489,10497) = 110103033 / 1
LCM(10489,10497) = 110103033

Least Common Multiple (LCM) of 10489 and 10497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10489 and 10497. First we will calculate the prime factors of 10489 and 10497.

Prime Factorization of 10489

Prime factors of 10489 are 17, 617. Prime factorization of 10489 in exponential form is:

10489 = 171 × 6171

Prime Factorization of 10497

Prime factors of 10497 are 3, 3499. Prime factorization of 10497 in exponential form is:

10497 = 31 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 10489 and 10497.

LCM(10489,10497) = 171 × 6171 × 31 × 34991
LCM(10489,10497) = 110103033