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What is the Least Common Multiple of 10516 and 10526?

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 10516 and 10526 is 55345708.

LCM(10516,10526) = 55345708

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Least Common Multiple of 10516 and 10526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10516 and 10526, than apply into the LCM equation.

GCF(10516,10526) = 2
LCM(10516,10526) = ( 10516 × 10526) / 2
LCM(10516,10526) = 110691416 / 2
LCM(10516,10526) = 55345708

Least Common Multiple (LCM) of 10516 and 10526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10516 and 10526. First we will calculate the prime factors of 10516 and 10526.

Prime Factorization of 10516

Prime factors of 10516 are 2, 11, 239. Prime factorization of 10516 in exponential form is:

10516 = 22 × 111 × 2391

Prime Factorization of 10526

Prime factors of 10526 are 2, 19, 277. Prime factorization of 10526 in exponential form is:

10526 = 21 × 191 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 10516 and 10526.

LCM(10516,10526) = 22 × 111 × 2391 × 191 × 2771
LCM(10516,10526) = 55345708