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What is the Least Common Multiple of 10528 and 10536?

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 10528 and 10536 is 13865376.

LCM(10528,10536) = 13865376

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Least Common Multiple of 10528 and 10536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10528 and 10536, than apply into the LCM equation.

GCF(10528,10536) = 8
LCM(10528,10536) = ( 10528 × 10536) / 8
LCM(10528,10536) = 110923008 / 8
LCM(10528,10536) = 13865376

Least Common Multiple (LCM) of 10528 and 10536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10528 and 10536. First we will calculate the prime factors of 10528 and 10536.

Prime Factorization of 10528

Prime factors of 10528 are 2, 7, 47. Prime factorization of 10528 in exponential form is:

10528 = 25 × 71 × 471

Prime Factorization of 10536

Prime factors of 10536 are 2, 3, 439. Prime factorization of 10536 in exponential form is:

10536 = 23 × 31 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 10528 and 10536.

LCM(10528,10536) = 25 × 71 × 471 × 31 × 4391
LCM(10528,10536) = 13865376