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What is the Least Common Multiple of 1693 and 1711?

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 1693 and 1711 is 2896723.

LCM(1693,1711) = 2896723

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Least Common Multiple of 1693 and 1711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1693 and 1711, than apply into the LCM equation.

GCF(1693,1711) = 1
LCM(1693,1711) = ( 1693 × 1711) / 1
LCM(1693,1711) = 2896723 / 1
LCM(1693,1711) = 2896723

Least Common Multiple (LCM) of 1693 and 1711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1693 and 1711. First we will calculate the prime factors of 1693 and 1711.

Prime Factorization of 1693

Prime factors of 1693 are 1693. Prime factorization of 1693 in exponential form is:

1693 = 16931

Prime Factorization of 1711

Prime factors of 1711 are 29, 59. Prime factorization of 1711 in exponential form is:

1711 = 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 1693 and 1711.

LCM(1693,1711) = 16931 × 291 × 591
LCM(1693,1711) = 2896723