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What is the Least Common Multiple of 22583 and 22596?

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 22583 and 22596 is 510285468.

LCM(22583,22596) = 510285468

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Least Common Multiple of 22583 and 22596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22583 and 22596, than apply into the LCM equation.

GCF(22583,22596) = 1
LCM(22583,22596) = ( 22583 × 22596) / 1
LCM(22583,22596) = 510285468 / 1
LCM(22583,22596) = 510285468

Least Common Multiple (LCM) of 22583 and 22596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22583 and 22596. First we will calculate the prime factors of 22583 and 22596.

Prime Factorization of 22583

Prime factors of 22583 are 11, 2053. Prime factorization of 22583 in exponential form is:

22583 = 111 × 20531

Prime Factorization of 22596

Prime factors of 22596 are 2, 3, 7, 269. Prime factorization of 22596 in exponential form is:

22596 = 22 × 31 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 22583 and 22596.

LCM(22583,22596) = 111 × 20531 × 22 × 31 × 71 × 2691
LCM(22583,22596) = 510285468