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What is the Least Common Multiple of 11851 and 11858?

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 11851 and 11858 is 20075594.

LCM(11851,11858) = 20075594

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Least Common Multiple of 11851 and 11858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11851 and 11858, than apply into the LCM equation.

GCF(11851,11858) = 7
LCM(11851,11858) = ( 11851 × 11858) / 7
LCM(11851,11858) = 140529158 / 7
LCM(11851,11858) = 20075594

Least Common Multiple (LCM) of 11851 and 11858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11851 and 11858. First we will calculate the prime factors of 11851 and 11858.

Prime Factorization of 11851

Prime factors of 11851 are 7, 1693. Prime factorization of 11851 in exponential form is:

11851 = 71 × 16931

Prime Factorization of 11858

Prime factors of 11858 are 2, 7, 11. Prime factorization of 11858 in exponential form is:

11858 = 21 × 72 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 11851 and 11858.

LCM(11851,11858) = 72 × 16931 × 21 × 112
LCM(11851,11858) = 20075594