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What is the Least Common Multiple of 29609 and 29619?

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 29619 is 876988971.

LCM(29609,29619) = 876988971

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Least Common Multiple of 29609 and 29619 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 29619, than apply into the LCM equation.

GCF(29609,29619) = 1
LCM(29609,29619) = ( 29609 × 29619) / 1
LCM(29609,29619) = 876988971 / 1
LCM(29609,29619) = 876988971

Least Common Multiple (LCM) of 29609 and 29619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29609 and 29619. First we will calculate the prime factors of 29609 and 29619.

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 29619

Prime factors of 29619 are 3, 1097. Prime factorization of 29619 in exponential form is:

29619 = 33 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 29609 and 29619.

LCM(29609,29619) = 291 × 10211 × 33 × 10971
LCM(29609,29619) = 876988971