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What is the Least Common Multiple of 47933 and 47939?

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 47933 and 47939 is 2297860087.

LCM(47933,47939) = 2297860087

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Least Common Multiple of 47933 and 47939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47933 and 47939, than apply into the LCM equation.

GCF(47933,47939) = 1
LCM(47933,47939) = ( 47933 × 47939) / 1
LCM(47933,47939) = 2297860087 / 1
LCM(47933,47939) = 2297860087

Least Common Multiple (LCM) of 47933 and 47939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47933 and 47939. First we will calculate the prime factors of 47933 and 47939.

Prime Factorization of 47933

Prime factors of 47933 are 47933. Prime factorization of 47933 in exponential form is:

47933 = 479331

Prime Factorization of 47939

Prime factors of 47939 are 47939. Prime factorization of 47939 in exponential form is:

47939 = 479391

Now multiplying the highest exponent prime factors to calculate the LCM of 47933 and 47939.

LCM(47933,47939) = 479331 × 479391
LCM(47933,47939) = 2297860087