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What is the Least Common Multiple of 29567 and 29586?

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 29567 and 29586 is 874769262.

LCM(29567,29586) = 874769262

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Least Common Multiple of 29567 and 29586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29567 and 29586, than apply into the LCM equation.

GCF(29567,29586) = 1
LCM(29567,29586) = ( 29567 × 29586) / 1
LCM(29567,29586) = 874769262 / 1
LCM(29567,29586) = 874769262

Least Common Multiple (LCM) of 29567 and 29586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29567 and 29586. First we will calculate the prime factors of 29567 and 29586.

Prime Factorization of 29567

Prime factors of 29567 are 29567. Prime factorization of 29567 in exponential form is:

29567 = 295671

Prime Factorization of 29586

Prime factors of 29586 are 2, 3, 4931. Prime factorization of 29586 in exponential form is:

29586 = 21 × 31 × 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 29567 and 29586.

LCM(29567,29586) = 295671 × 21 × 31 × 49311
LCM(29567,29586) = 874769262