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What is the Least Common Multiple of 57373 and 57391?

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 57373 and 57391 is 3292693843.

LCM(57373,57391) = 3292693843

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Least Common Multiple of 57373 and 57391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57373 and 57391, than apply into the LCM equation.

GCF(57373,57391) = 1
LCM(57373,57391) = ( 57373 × 57391) / 1
LCM(57373,57391) = 3292693843 / 1
LCM(57373,57391) = 3292693843

Least Common Multiple (LCM) of 57373 and 57391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57373 and 57391. First we will calculate the prime factors of 57373 and 57391.

Prime Factorization of 57373

Prime factors of 57373 are 57373. Prime factorization of 57373 in exponential form is:

57373 = 573731

Prime Factorization of 57391

Prime factors of 57391 are 29, 1979. Prime factorization of 57391 in exponential form is:

57391 = 291 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 57373 and 57391.

LCM(57373,57391) = 573731 × 291 × 19791
LCM(57373,57391) = 3292693843