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What is the Least Common Multiple of 11958 and 11963?

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 11958 and 11963 is 143053554.

LCM(11958,11963) = 143053554

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Least Common Multiple of 11958 and 11963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11958 and 11963, than apply into the LCM equation.

GCF(11958,11963) = 1
LCM(11958,11963) = ( 11958 × 11963) / 1
LCM(11958,11963) = 143053554 / 1
LCM(11958,11963) = 143053554

Least Common Multiple (LCM) of 11958 and 11963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11958 and 11963. First we will calculate the prime factors of 11958 and 11963.

Prime Factorization of 11958

Prime factors of 11958 are 2, 3, 1993. Prime factorization of 11958 in exponential form is:

11958 = 21 × 31 × 19931

Prime Factorization of 11963

Prime factors of 11963 are 7, 1709. Prime factorization of 11963 in exponential form is:

11963 = 71 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 11958 and 11963.

LCM(11958,11963) = 21 × 31 × 19931 × 71 × 17091
LCM(11958,11963) = 143053554