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What is the Least Common Multiple of 1714 and 1719?

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 1714 and 1719 is 2946366.

LCM(1714,1719) = 2946366

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Least Common Multiple of 1714 and 1719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1714 and 1719, than apply into the LCM equation.

GCF(1714,1719) = 1
LCM(1714,1719) = ( 1714 × 1719) / 1
LCM(1714,1719) = 2946366 / 1
LCM(1714,1719) = 2946366

Least Common Multiple (LCM) of 1714 and 1719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1714 and 1719. First we will calculate the prime factors of 1714 and 1719.

Prime Factorization of 1714

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

1714 = 21 × 8571

Prime Factorization of 1719

Prime factors of 1719 are 3, 191. Prime factorization of 1719 in exponential form is:

1719 = 32 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1714 and 1719.

LCM(1714,1719) = 21 × 8571 × 32 × 1911
LCM(1714,1719) = 2946366