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What is the Least Common Multiple of 22836 and 22841?

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 22836 and 22841 is 521597076.

LCM(22836,22841) = 521597076

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Least Common Multiple of 22836 and 22841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22836 and 22841, than apply into the LCM equation.

GCF(22836,22841) = 1
LCM(22836,22841) = ( 22836 × 22841) / 1
LCM(22836,22841) = 521597076 / 1
LCM(22836,22841) = 521597076

Least Common Multiple (LCM) of 22836 and 22841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22836 and 22841. First we will calculate the prime factors of 22836 and 22841.

Prime Factorization of 22836

Prime factors of 22836 are 2, 3, 11, 173. Prime factorization of 22836 in exponential form is:

22836 = 22 × 31 × 111 × 1731

Prime Factorization of 22841

Prime factors of 22841 are 7, 13, 251. Prime factorization of 22841 in exponential form is:

22841 = 71 × 131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 22836 and 22841.

LCM(22836,22841) = 22 × 31 × 111 × 1731 × 71 × 131 × 2511
LCM(22836,22841) = 521597076