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What is the Least Common Multiple of 12705 and 12722?

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 12705 and 12722 is 161633010.

LCM(12705,12722) = 161633010

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Least Common Multiple of 12705 and 12722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12705 and 12722, than apply into the LCM equation.

GCF(12705,12722) = 1
LCM(12705,12722) = ( 12705 × 12722) / 1
LCM(12705,12722) = 161633010 / 1
LCM(12705,12722) = 161633010

Least Common Multiple (LCM) of 12705 and 12722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12705 and 12722. First we will calculate the prime factors of 12705 and 12722.

Prime Factorization of 12705

Prime factors of 12705 are 3, 5, 7, 11. Prime factorization of 12705 in exponential form is:

12705 = 31 × 51 × 71 × 112

Prime Factorization of 12722

Prime factors of 12722 are 2, 6361. Prime factorization of 12722 in exponential form is:

12722 = 21 × 63611

Now multiplying the highest exponent prime factors to calculate the LCM of 12705 and 12722.

LCM(12705,12722) = 31 × 51 × 71 × 112 × 21 × 63611
LCM(12705,12722) = 161633010