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What is the Least Common Multiple of 4539 and 4558?

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 4539 and 4558 is 20688762.

LCM(4539,4558) = 20688762

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Least Common Multiple of 4539 and 4558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4539 and 4558, than apply into the LCM equation.

GCF(4539,4558) = 1
LCM(4539,4558) = ( 4539 × 4558) / 1
LCM(4539,4558) = 20688762 / 1
LCM(4539,4558) = 20688762

Least Common Multiple (LCM) of 4539 and 4558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4539 and 4558. First we will calculate the prime factors of 4539 and 4558.

Prime Factorization of 4539

Prime factors of 4539 are 3, 17, 89. Prime factorization of 4539 in exponential form is:

4539 = 31 × 171 × 891

Prime Factorization of 4558

Prime factors of 4558 are 2, 43, 53. Prime factorization of 4558 in exponential form is:

4558 = 21 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4539 and 4558.

LCM(4539,4558) = 31 × 171 × 891 × 21 × 431 × 531
LCM(4539,4558) = 20688762