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What is the Least Common Multiple of 10528 and 10534?

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 10534 is 55450976.

LCM(10528,10534) = 55450976

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Least Common Multiple of 10528 and 10534 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 10534, than apply into the LCM equation.

GCF(10528,10534) = 2
LCM(10528,10534) = ( 10528 × 10534) / 2
LCM(10528,10534) = 110901952 / 2
LCM(10528,10534) = 55450976

Least Common Multiple (LCM) of 10528 and 10534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10528 and 10534. First we will calculate the prime factors of 10528 and 10534.

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 10534

Prime factors of 10534 are 2, 23, 229. Prime factorization of 10534 in exponential form is:

10534 = 21 × 231 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 10528 and 10534.

LCM(10528,10534) = 25 × 71 × 471 × 231 × 2291
LCM(10528,10534) = 55450976