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What is the Least Common Multiple of 22528 and 22547?

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 22528 and 22547 is 507938816.

LCM(22528,22547) = 507938816

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Least Common Multiple of 22528 and 22547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22528 and 22547, than apply into the LCM equation.

GCF(22528,22547) = 1
LCM(22528,22547) = ( 22528 × 22547) / 1
LCM(22528,22547) = 507938816 / 1
LCM(22528,22547) = 507938816

Least Common Multiple (LCM) of 22528 and 22547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22528 and 22547. First we will calculate the prime factors of 22528 and 22547.

Prime Factorization of 22528

Prime factors of 22528 are 2, 11. Prime factorization of 22528 in exponential form is:

22528 = 211 × 111

Prime Factorization of 22547

Prime factors of 22547 are 7, 3221. Prime factorization of 22547 in exponential form is:

22547 = 71 × 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 22528 and 22547.

LCM(22528,22547) = 211 × 111 × 71 × 32211
LCM(22528,22547) = 507938816