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What is the Least Common Multiple of 22817 and 22824?

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 22817 and 22824 is 520775208.

LCM(22817,22824) = 520775208

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Least Common Multiple of 22817 and 22824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22817 and 22824, than apply into the LCM equation.

GCF(22817,22824) = 1
LCM(22817,22824) = ( 22817 × 22824) / 1
LCM(22817,22824) = 520775208 / 1
LCM(22817,22824) = 520775208

Least Common Multiple (LCM) of 22817 and 22824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22817 and 22824. First we will calculate the prime factors of 22817 and 22824.

Prime Factorization of 22817

Prime factors of 22817 are 22817. Prime factorization of 22817 in exponential form is:

22817 = 228171

Prime Factorization of 22824

Prime factors of 22824 are 2, 3, 317. Prime factorization of 22824 in exponential form is:

22824 = 23 × 32 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 22817 and 22824.

LCM(22817,22824) = 228171 × 23 × 32 × 3171
LCM(22817,22824) = 520775208