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What is the Least Common Multiple of 18931 and 18943?

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 18931 and 18943 is 358609933.

LCM(18931,18943) = 358609933

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Least Common Multiple of 18931 and 18943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18931 and 18943, than apply into the LCM equation.

GCF(18931,18943) = 1
LCM(18931,18943) = ( 18931 × 18943) / 1
LCM(18931,18943) = 358609933 / 1
LCM(18931,18943) = 358609933

Least Common Multiple (LCM) of 18931 and 18943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18931 and 18943. First we will calculate the prime factors of 18931 and 18943.

Prime Factorization of 18931

Prime factors of 18931 are 11, 1721. Prime factorization of 18931 in exponential form is:

18931 = 111 × 17211

Prime Factorization of 18943

Prime factors of 18943 are 19, 997. Prime factorization of 18943 in exponential form is:

18943 = 191 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 18931 and 18943.

LCM(18931,18943) = 111 × 17211 × 191 × 9971
LCM(18931,18943) = 358609933