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What is the Least Common Multiple of 57798 and 57814?

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 57798 and 57814 is 1670766786.

LCM(57798,57814) = 1670766786

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Least Common Multiple of 57798 and 57814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57798 and 57814, than apply into the LCM equation.

GCF(57798,57814) = 2
LCM(57798,57814) = ( 57798 × 57814) / 2
LCM(57798,57814) = 3341533572 / 2
LCM(57798,57814) = 1670766786

Least Common Multiple (LCM) of 57798 and 57814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57798 and 57814. First we will calculate the prime factors of 57798 and 57814.

Prime Factorization of 57798

Prime factors of 57798 are 2, 3, 13, 19. Prime factorization of 57798 in exponential form is:

57798 = 21 × 32 × 132 × 191

Prime Factorization of 57814

Prime factors of 57814 are 2, 137, 211. Prime factorization of 57814 in exponential form is:

57814 = 21 × 1371 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 57798 and 57814.

LCM(57798,57814) = 21 × 32 × 132 × 191 × 1371 × 2111
LCM(57798,57814) = 1670766786