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What is the Least Common Multiple of 29600 and 29609?

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 29600 and 29609 is 876426400.

LCM(29600,29609) = 876426400

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Least Common Multiple of 29600 and 29609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29600 and 29609, than apply into the LCM equation.

GCF(29600,29609) = 1
LCM(29600,29609) = ( 29600 × 29609) / 1
LCM(29600,29609) = 876426400 / 1
LCM(29600,29609) = 876426400

Least Common Multiple (LCM) of 29600 and 29609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29600 and 29609. First we will calculate the prime factors of 29600 and 29609.

Prime Factorization of 29600

Prime factors of 29600 are 2, 5, 37. Prime factorization of 29600 in exponential form is:

29600 = 25 × 52 × 371

Prime Factorization of 29609

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

29609 = 291 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 29600 and 29609.

LCM(29600,29609) = 25 × 52 × 371 × 291 × 10211
LCM(29600,29609) = 876426400