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What is the Least Common Multiple of 1709 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 1709 and 1714 is 2929226.

LCM(1709,1714) = 2929226

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Least Common Multiple of 1709 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 1709 and 1714, than apply into the LCM equation.

GCF(1709,1714) = 1
LCM(1709,1714) = ( 1709 × 1714) / 1
LCM(1709,1714) = 2929226 / 1
LCM(1709,1714) = 2929226

Least Common Multiple (LCM) of 1709 and 1714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1709 and 1714. First we will calculate the prime factors of 1709 and 1714.

Prime Factorization of 1709

Prime factors of 1709 are 1709. Prime factorization of 1709 in exponential form is:

1709 = 17091

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 1709 and 1714.

LCM(1709,1714) = 17091 × 21 × 8571
LCM(1709,1714) = 2929226