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What is the Least Common Multiple of 10528 and 10548?

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 10548 is 27762336.

LCM(10528,10548) = 27762336

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Least Common Multiple of 10528 and 10548 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 10548, than apply into the LCM equation.

GCF(10528,10548) = 4
LCM(10528,10548) = ( 10528 × 10548) / 4
LCM(10528,10548) = 111049344 / 4
LCM(10528,10548) = 27762336

Least Common Multiple (LCM) of 10528 and 10548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10528 and 10548. First we will calculate the prime factors of 10528 and 10548.

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 10548

Prime factors of 10548 are 2, 3, 293. Prime factorization of 10548 in exponential form is:

10548 = 22 × 32 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 10528 and 10548.

LCM(10528,10548) = 25 × 71 × 471 × 32 × 2931
LCM(10528,10548) = 27762336