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What is the Least Common Multiple of 29811 and 29826?

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 29811 and 29826 is 296380962.

LCM(29811,29826) = 296380962

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Least Common Multiple of 29811 and 29826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29811 and 29826, than apply into the LCM equation.

GCF(29811,29826) = 3
LCM(29811,29826) = ( 29811 × 29826) / 3
LCM(29811,29826) = 889142886 / 3
LCM(29811,29826) = 296380962

Least Common Multiple (LCM) of 29811 and 29826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29811 and 29826. First we will calculate the prime factors of 29811 and 29826.

Prime Factorization of 29811

Prime factors of 29811 are 3, 19, 523. Prime factorization of 29811 in exponential form is:

29811 = 31 × 191 × 5231

Prime Factorization of 29826

Prime factors of 29826 are 2, 3, 1657. Prime factorization of 29826 in exponential form is:

29826 = 21 × 32 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 29811 and 29826.

LCM(29811,29826) = 32 × 191 × 5231 × 21 × 16571
LCM(29811,29826) = 296380962