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What is the Least Common Multiple of 15943 and 15948?

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 15943 and 15948 is 254258964.

LCM(15943,15948) = 254258964

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Least Common Multiple of 15943 and 15948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15943 and 15948, than apply into the LCM equation.

GCF(15943,15948) = 1
LCM(15943,15948) = ( 15943 × 15948) / 1
LCM(15943,15948) = 254258964 / 1
LCM(15943,15948) = 254258964

Least Common Multiple (LCM) of 15943 and 15948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15943 and 15948. First we will calculate the prime factors of 15943 and 15948.

Prime Factorization of 15943

Prime factors of 15943 are 107, 149. Prime factorization of 15943 in exponential form is:

15943 = 1071 × 1491

Prime Factorization of 15948

Prime factors of 15948 are 2, 3, 443. Prime factorization of 15948 in exponential form is:

15948 = 22 × 32 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 15943 and 15948.

LCM(15943,15948) = 1071 × 1491 × 22 × 32 × 4431
LCM(15943,15948) = 254258964