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What is the Least Common Multiple of 10508 and 10528?

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 10508 and 10528 is 27657056.

LCM(10508,10528) = 27657056

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Least Common Multiple of 10508 and 10528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10508 and 10528, than apply into the LCM equation.

GCF(10508,10528) = 4
LCM(10508,10528) = ( 10508 × 10528) / 4
LCM(10508,10528) = 110628224 / 4
LCM(10508,10528) = 27657056

Least Common Multiple (LCM) of 10508 and 10528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10508 and 10528. First we will calculate the prime factors of 10508 and 10528.

Prime Factorization of 10508

Prime factors of 10508 are 2, 37, 71. Prime factorization of 10508 in exponential form is:

10508 = 22 × 371 × 711

Prime Factorization of 10528

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

10528 = 25 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 10508 and 10528.

LCM(10508,10528) = 25 × 371 × 711 × 71 × 471
LCM(10508,10528) = 27657056