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What is the Least Common Multiple of 1708 and 1723?

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 1708 and 1723 is 2942884.

LCM(1708,1723) = 2942884

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Least Common Multiple of 1708 and 1723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1708 and 1723, than apply into the LCM equation.

GCF(1708,1723) = 1
LCM(1708,1723) = ( 1708 × 1723) / 1
LCM(1708,1723) = 2942884 / 1
LCM(1708,1723) = 2942884

Least Common Multiple (LCM) of 1708 and 1723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1708 and 1723. First we will calculate the prime factors of 1708 and 1723.

Prime Factorization of 1708

Prime factors of 1708 are 2, 7, 61. Prime factorization of 1708 in exponential form is:

1708 = 22 × 71 × 611

Prime Factorization of 1723

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 1708 and 1723.

LCM(1708,1723) = 22 × 71 × 611 × 17231
LCM(1708,1723) = 2942884