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What is the Least Common Multiple of 29609 and 29623?

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 29609 and 29623 is 877107407.

LCM(29609,29623) = 877107407

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Least Common Multiple of 29609 and 29623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29609 and 29623, than apply into the LCM equation.

GCF(29609,29623) = 1
LCM(29609,29623) = ( 29609 × 29623) / 1
LCM(29609,29623) = 877107407 / 1
LCM(29609,29623) = 877107407

Least Common Multiple (LCM) of 29609 and 29623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29609 and 29623. First we will calculate the prime factors of 29609 and 29623.

Prime Factorization of 29609

Prime factors of 29609 are 29, 1021. Prime factorization of 29609 in exponential form is:

29609 = 291 × 10211

Prime Factorization of 29623

Prime factors of 29623 are 11, 2693. Prime factorization of 29623 in exponential form is:

29623 = 111 × 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 29609 and 29623.

LCM(29609,29623) = 291 × 10211 × 111 × 26931
LCM(29609,29623) = 877107407