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What is the Least Common Multiple of 1703 and 1714?

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 1714 is 2918942.

LCM(1703,1714) = 2918942

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Least Common Multiple of 1703 and 1714 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 1714, than apply into the LCM equation.

GCF(1703,1714) = 1
LCM(1703,1714) = ( 1703 × 1714) / 1
LCM(1703,1714) = 2918942 / 1
LCM(1703,1714) = 2918942

Least Common Multiple (LCM) of 1703 and 1714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1703 and 1714. First we will calculate the prime factors of 1703 and 1714.

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 1714

Prime factors of 1714 are 2, 857. Prime factorization of 1714 in exponential form is:

1714 = 21 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 1703 and 1714.

LCM(1703,1714) = 131 × 1311 × 21 × 8571
LCM(1703,1714) = 2918942