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What is the Least Common Multiple of 57641 and 57655?

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 57641 and 57655 is 3323291855.

LCM(57641,57655) = 3323291855

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Least Common Multiple of 57641 and 57655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57641 and 57655, than apply into the LCM equation.

GCF(57641,57655) = 1
LCM(57641,57655) = ( 57641 × 57655) / 1
LCM(57641,57655) = 3323291855 / 1
LCM(57641,57655) = 3323291855

Least Common Multiple (LCM) of 57641 and 57655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57641 and 57655. First we will calculate the prime factors of 57641 and 57655.

Prime Factorization of 57641

Prime factors of 57641 are 57641. Prime factorization of 57641 in exponential form is:

57641 = 576411

Prime Factorization of 57655

Prime factors of 57655 are 5, 13, 887. Prime factorization of 57655 in exponential form is:

57655 = 51 × 131 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 57641 and 57655.

LCM(57641,57655) = 576411 × 51 × 131 × 8871
LCM(57641,57655) = 3323291855