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What is the Least Common Multiple of 29661 and 29673?

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 29661 and 29673 is 293376951.

LCM(29661,29673) = 293376951

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Least Common Multiple of 29661 and 29673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29661 and 29673, than apply into the LCM equation.

GCF(29661,29673) = 3
LCM(29661,29673) = ( 29661 × 29673) / 3
LCM(29661,29673) = 880130853 / 3
LCM(29661,29673) = 293376951

Least Common Multiple (LCM) of 29661 and 29673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29661 and 29673. First we will calculate the prime factors of 29661 and 29673.

Prime Factorization of 29661

Prime factors of 29661 are 3, 9887. Prime factorization of 29661 in exponential form is:

29661 = 31 × 98871

Prime Factorization of 29673

Prime factors of 29673 are 3, 7, 157. Prime factorization of 29673 in exponential form is:

29673 = 33 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 29661 and 29673.

LCM(29661,29673) = 33 × 98871 × 71 × 1571
LCM(29661,29673) = 293376951