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What is the Least Common Multiple of 524 and 539?

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 524 and 539 is 282436.

LCM(524,539) = 282436

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Least Common Multiple of 524 and 539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 524 and 539, than apply into the LCM equation.

GCF(524,539) = 1
LCM(524,539) = ( 524 × 539) / 1
LCM(524,539) = 282436 / 1
LCM(524,539) = 282436

Least Common Multiple (LCM) of 524 and 539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 539. First we will calculate the prime factors of 524 and 539.

Prime Factorization of 524

Prime factors of 524 are 2, 131. Prime factorization of 524 in exponential form is:

524 = 22 × 1311

Prime Factorization of 539

Prime factors of 539 are 7, 11. Prime factorization of 539 in exponential form is:

539 = 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 524 and 539.

LCM(524,539) = 22 × 1311 × 72 × 111
LCM(524,539) = 282436