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What is the Least Common Multiple of 22849 and 22863?

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 22849 and 22863 is 522396687.

LCM(22849,22863) = 522396687

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Least Common Multiple of 22849 and 22863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22849 and 22863, than apply into the LCM equation.

GCF(22849,22863) = 1
LCM(22849,22863) = ( 22849 × 22863) / 1
LCM(22849,22863) = 522396687 / 1
LCM(22849,22863) = 522396687

Least Common Multiple (LCM) of 22849 and 22863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22849 and 22863. First we will calculate the prime factors of 22849 and 22863.

Prime Factorization of 22849

Prime factors of 22849 are 73, 313. Prime factorization of 22849 in exponential form is:

22849 = 731 × 3131

Prime Factorization of 22863

Prime factors of 22863 are 3, 7621. Prime factorization of 22863 in exponential form is:

22863 = 31 × 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 22849 and 22863.

LCM(22849,22863) = 731 × 3131 × 31 × 76211
LCM(22849,22863) = 522396687