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What is the Least Common Multiple of 11927 and 11934?

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 11927 and 11934 is 142336818.

LCM(11927,11934) = 142336818

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Least Common Multiple of 11927 and 11934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11927 and 11934, than apply into the LCM equation.

GCF(11927,11934) = 1
LCM(11927,11934) = ( 11927 × 11934) / 1
LCM(11927,11934) = 142336818 / 1
LCM(11927,11934) = 142336818

Least Common Multiple (LCM) of 11927 and 11934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11927 and 11934. First we will calculate the prime factors of 11927 and 11934.

Prime Factorization of 11927

Prime factors of 11927 are 11927. Prime factorization of 11927 in exponential form is:

11927 = 119271

Prime Factorization of 11934

Prime factors of 11934 are 2, 3, 13, 17. Prime factorization of 11934 in exponential form is:

11934 = 21 × 33 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 11927 and 11934.

LCM(11927,11934) = 119271 × 21 × 33 × 131 × 171
LCM(11927,11934) = 142336818