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What is the Least Common Multiple of 10532 and 10537?

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 10532 and 10537 is 110975684.

LCM(10532,10537) = 110975684

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Least Common Multiple of 10532 and 10537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10532 and 10537, than apply into the LCM equation.

GCF(10532,10537) = 1
LCM(10532,10537) = ( 10532 × 10537) / 1
LCM(10532,10537) = 110975684 / 1
LCM(10532,10537) = 110975684

Least Common Multiple (LCM) of 10532 and 10537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10532 and 10537. First we will calculate the prime factors of 10532 and 10537.

Prime Factorization of 10532

Prime factors of 10532 are 2, 2633. Prime factorization of 10532 in exponential form is:

10532 = 22 × 26331

Prime Factorization of 10537

Prime factors of 10537 are 41, 257. Prime factorization of 10537 in exponential form is:

10537 = 411 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 10532 and 10537.

LCM(10532,10537) = 22 × 26331 × 411 × 2571
LCM(10532,10537) = 110975684