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What is the Least Common Multiple of 4528 and 4547?

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 4528 and 4547 is 20588816.

LCM(4528,4547) = 20588816

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Least Common Multiple of 4528 and 4547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4528 and 4547, than apply into the LCM equation.

GCF(4528,4547) = 1
LCM(4528,4547) = ( 4528 × 4547) / 1
LCM(4528,4547) = 20588816 / 1
LCM(4528,4547) = 20588816

Least Common Multiple (LCM) of 4528 and 4547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4528 and 4547. First we will calculate the prime factors of 4528 and 4547.

Prime Factorization of 4528

Prime factors of 4528 are 2, 283. Prime factorization of 4528 in exponential form is:

4528 = 24 × 2831

Prime Factorization of 4547

Prime factors of 4547 are 4547. Prime factorization of 4547 in exponential form is:

4547 = 45471

Now multiplying the highest exponent prime factors to calculate the LCM of 4528 and 4547.

LCM(4528,4547) = 24 × 2831 × 45471
LCM(4528,4547) = 20588816