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What is the Least Common Multiple of 29898 and 29909?

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 29898 and 29909 is 81292662.

LCM(29898,29909) = 81292662

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Least Common Multiple of 29898 and 29909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29898 and 29909, than apply into the LCM equation.

GCF(29898,29909) = 11
LCM(29898,29909) = ( 29898 × 29909) / 11
LCM(29898,29909) = 894219282 / 11
LCM(29898,29909) = 81292662

Least Common Multiple (LCM) of 29898 and 29909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29898 and 29909. First we will calculate the prime factors of 29898 and 29909.

Prime Factorization of 29898

Prime factors of 29898 are 2, 3, 11, 151. Prime factorization of 29898 in exponential form is:

29898 = 21 × 32 × 111 × 1511

Prime Factorization of 29909

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

29909 = 111 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 29898 and 29909.

LCM(29898,29909) = 21 × 32 × 111 × 1511 × 27191
LCM(29898,29909) = 81292662