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What is the Least Common Multiple of 32933 and 32943?

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 32933 and 32943 is 1084911819.

LCM(32933,32943) = 1084911819

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Least Common Multiple of 32933 and 32943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32933 and 32943, than apply into the LCM equation.

GCF(32933,32943) = 1
LCM(32933,32943) = ( 32933 × 32943) / 1
LCM(32933,32943) = 1084911819 / 1
LCM(32933,32943) = 1084911819

Least Common Multiple (LCM) of 32933 and 32943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32933 and 32943. First we will calculate the prime factors of 32933 and 32943.

Prime Factorization of 32933

Prime factors of 32933 are 32933. Prime factorization of 32933 in exponential form is:

32933 = 329331

Prime Factorization of 32943

Prime factors of 32943 are 3, 79, 139. Prime factorization of 32943 in exponential form is:

32943 = 31 × 791 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 32933 and 32943.

LCM(32933,32943) = 329331 × 31 × 791 × 1391
LCM(32933,32943) = 1084911819