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What is the Least Common Multiple of 1703 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 1703 and 1723 is 2934269.

LCM(1703,1723) = 2934269

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Least Common Multiple of 1703 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 1703 and 1723, than apply into the LCM equation.

GCF(1703,1723) = 1
LCM(1703,1723) = ( 1703 × 1723) / 1
LCM(1703,1723) = 2934269 / 1
LCM(1703,1723) = 2934269

Least Common Multiple (LCM) of 1703 and 1723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1703 and 1723. First we will calculate the prime factors of 1703 and 1723.

Prime Factorization of 1703

Prime factors of 1703 are 13, 131. Prime factorization of 1703 in exponential form is:

1703 = 131 × 1311

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 1703 and 1723.

LCM(1703,1723) = 131 × 1311 × 17231
LCM(1703,1723) = 2934269