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What is the Least Common Multiple of 4517 and 4532?

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 4517 and 4532 is 20471044.

LCM(4517,4532) = 20471044

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Least Common Multiple of 4517 and 4532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4517 and 4532, than apply into the LCM equation.

GCF(4517,4532) = 1
LCM(4517,4532) = ( 4517 × 4532) / 1
LCM(4517,4532) = 20471044 / 1
LCM(4517,4532) = 20471044

Least Common Multiple (LCM) of 4517 and 4532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4517 and 4532. First we will calculate the prime factors of 4517 and 4532.

Prime Factorization of 4517

Prime factors of 4517 are 4517. Prime factorization of 4517 in exponential form is:

4517 = 45171

Prime Factorization of 4532

Prime factors of 4532 are 2, 11, 103. Prime factorization of 4532 in exponential form is:

4532 = 22 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4517 and 4532.

LCM(4517,4532) = 45171 × 22 × 111 × 1031
LCM(4517,4532) = 20471044