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What is the Least Common Multiple of 21841 and 21851?

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 21841 and 21851 is 477247691.

LCM(21841,21851) = 477247691

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Least Common Multiple of 21841 and 21851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21841 and 21851, than apply into the LCM equation.

GCF(21841,21851) = 1
LCM(21841,21851) = ( 21841 × 21851) / 1
LCM(21841,21851) = 477247691 / 1
LCM(21841,21851) = 477247691

Least Common Multiple (LCM) of 21841 and 21851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21841 and 21851. First we will calculate the prime factors of 21841 and 21851.

Prime Factorization of 21841

Prime factors of 21841 are 21841. Prime factorization of 21841 in exponential form is:

21841 = 218411

Prime Factorization of 21851

Prime factors of 21851 are 21851. Prime factorization of 21851 in exponential form is:

21851 = 218511

Now multiplying the highest exponent prime factors to calculate the LCM of 21841 and 21851.

LCM(21841,21851) = 218411 × 218511
LCM(21841,21851) = 477247691