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What is the Least Common Multiple of 1703 and 1710?

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 1710 is 2912130.

LCM(1703,1710) = 2912130

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Least Common Multiple of 1703 and 1710 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 1710, than apply into the LCM equation.

GCF(1703,1710) = 1
LCM(1703,1710) = ( 1703 × 1710) / 1
LCM(1703,1710) = 2912130 / 1
LCM(1703,1710) = 2912130

Least Common Multiple (LCM) of 1703 and 1710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1703 and 1710. First we will calculate the prime factors of 1703 and 1710.

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 1710

Prime factors of 1710 are 2, 3, 5, 19. Prime factorization of 1710 in exponential form is:

1710 = 21 × 32 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1703 and 1710.

LCM(1703,1710) = 131 × 1311 × 21 × 32 × 51 × 191
LCM(1703,1710) = 2912130