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What is the Least Common Multiple of 11851 and 11870?

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 11870 is 140671370.

LCM(11851,11870) = 140671370

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Least Common Multiple of 11851 and 11870 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 11870, than apply into the LCM equation.

GCF(11851,11870) = 1
LCM(11851,11870) = ( 11851 × 11870) / 1
LCM(11851,11870) = 140671370 / 1
LCM(11851,11870) = 140671370

Least Common Multiple (LCM) of 11851 and 11870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11851 and 11870. First we will calculate the prime factors of 11851 and 11870.

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 11870

Prime factors of 11870 are 2, 5, 1187. Prime factorization of 11870 in exponential form is:

11870 = 21 × 51 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 11851 and 11870.

LCM(11851,11870) = 71 × 16931 × 21 × 51 × 11871
LCM(11851,11870) = 140671370