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What is the Least Common Multiple of 29609 and 29621?

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 29621 is 877048189.

LCM(29609,29621) = 877048189

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Least Common Multiple of 29609 and 29621 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 29621, than apply into the LCM equation.

GCF(29609,29621) = 1
LCM(29609,29621) = ( 29609 × 29621) / 1
LCM(29609,29621) = 877048189 / 1
LCM(29609,29621) = 877048189

Least Common Multiple (LCM) of 29609 and 29621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29609 and 29621. First we will calculate the prime factors of 29609 and 29621.

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 29621

Prime factors of 29621 are 19, 1559. Prime factorization of 29621 in exponential form is:

29621 = 191 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 29609 and 29621.

LCM(29609,29621) = 291 × 10211 × 191 × 15591
LCM(29609,29621) = 877048189