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What is the Least Common Multiple of 11826 and 11842?

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 11826 and 11842 is 70021746.

LCM(11826,11842) = 70021746

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Least Common Multiple of 11826 and 11842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11826 and 11842, than apply into the LCM equation.

GCF(11826,11842) = 2
LCM(11826,11842) = ( 11826 × 11842) / 2
LCM(11826,11842) = 140043492 / 2
LCM(11826,11842) = 70021746

Least Common Multiple (LCM) of 11826 and 11842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11826 and 11842. First we will calculate the prime factors of 11826 and 11842.

Prime Factorization of 11826

Prime factors of 11826 are 2, 3, 73. Prime factorization of 11826 in exponential form is:

11826 = 21 × 34 × 731

Prime Factorization of 11842

Prime factors of 11842 are 2, 31, 191. Prime factorization of 11842 in exponential form is:

11842 = 21 × 311 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 11826 and 11842.

LCM(11826,11842) = 21 × 34 × 731 × 311 × 1911
LCM(11826,11842) = 70021746