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What is the Least Common Multiple of 77293 and 77301?

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 77293 and 77301 is 5974826193.

LCM(77293,77301) = 5974826193

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Least Common Multiple of 77293 and 77301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77293 and 77301, than apply into the LCM equation.

GCF(77293,77301) = 1
LCM(77293,77301) = ( 77293 × 77301) / 1
LCM(77293,77301) = 5974826193 / 1
LCM(77293,77301) = 5974826193

Least Common Multiple (LCM) of 77293 and 77301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77293 and 77301. First we will calculate the prime factors of 77293 and 77301.

Prime Factorization of 77293

Prime factors of 77293 are 37, 2089. Prime factorization of 77293 in exponential form is:

77293 = 371 × 20891

Prime Factorization of 77301

Prime factors of 77301 are 3, 7, 409. Prime factorization of 77301 in exponential form is:

77301 = 33 × 71 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 77293 and 77301.

LCM(77293,77301) = 371 × 20891 × 33 × 71 × 4091
LCM(77293,77301) = 5974826193