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What is the Least Common Multiple of 29909 and 29922?

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 29909 and 29922 is 894937098.

LCM(29909,29922) = 894937098

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Least Common Multiple of 29909 and 29922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29909 and 29922, than apply into the LCM equation.

GCF(29909,29922) = 1
LCM(29909,29922) = ( 29909 × 29922) / 1
LCM(29909,29922) = 894937098 / 1
LCM(29909,29922) = 894937098

Least Common Multiple (LCM) of 29909 and 29922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29909 and 29922. First we will calculate the prime factors of 29909 and 29922.

Prime Factorization of 29909

Prime factors of 29909 are 11, 2719. Prime factorization of 29909 in exponential form is:

29909 = 111 × 27191

Prime Factorization of 29922

Prime factors of 29922 are 2, 3, 4987. Prime factorization of 29922 in exponential form is:

29922 = 21 × 31 × 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 29909 and 29922.

LCM(29909,29922) = 111 × 27191 × 21 × 31 × 49871
LCM(29909,29922) = 894937098