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What is the Least Common Multiple of 29559 and 29576?

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 29559 and 29576 is 874236984.

LCM(29559,29576) = 874236984

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Least Common Multiple of 29559 and 29576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29559 and 29576, than apply into the LCM equation.

GCF(29559,29576) = 1
LCM(29559,29576) = ( 29559 × 29576) / 1
LCM(29559,29576) = 874236984 / 1
LCM(29559,29576) = 874236984

Least Common Multiple (LCM) of 29559 and 29576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29559 and 29576. First we will calculate the prime factors of 29559 and 29576.

Prime Factorization of 29559

Prime factors of 29559 are 3, 59, 167. Prime factorization of 29559 in exponential form is:

29559 = 31 × 591 × 1671

Prime Factorization of 29576

Prime factors of 29576 are 2, 3697. Prime factorization of 29576 in exponential form is:

29576 = 23 × 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 29559 and 29576.

LCM(29559,29576) = 31 × 591 × 1671 × 23 × 36971
LCM(29559,29576) = 874236984