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What is the Least Common Multiple of 11943 and 11949?

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 11943 and 11949 is 47568969.

LCM(11943,11949) = 47568969

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Least Common Multiple of 11943 and 11949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11943 and 11949, than apply into the LCM equation.

GCF(11943,11949) = 3
LCM(11943,11949) = ( 11943 × 11949) / 3
LCM(11943,11949) = 142706907 / 3
LCM(11943,11949) = 47568969

Least Common Multiple (LCM) of 11943 and 11949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11943 and 11949. First we will calculate the prime factors of 11943 and 11949.

Prime Factorization of 11943

Prime factors of 11943 are 3, 1327. Prime factorization of 11943 in exponential form is:

11943 = 32 × 13271

Prime Factorization of 11949

Prime factors of 11949 are 3, 7, 569. Prime factorization of 11949 in exponential form is:

11949 = 31 × 71 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 11943 and 11949.

LCM(11943,11949) = 32 × 13271 × 71 × 5691
LCM(11943,11949) = 47568969