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What is the Least Common Multiple of 1710 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 1710 and 1719 is 326610.

LCM(1710,1719) = 326610

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Least Common Multiple of 1710 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 1710 and 1719, than apply into the LCM equation.

GCF(1710,1719) = 9
LCM(1710,1719) = ( 1710 × 1719) / 9
LCM(1710,1719) = 2939490 / 9
LCM(1710,1719) = 326610

Least Common Multiple (LCM) of 1710 and 1719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1719. First we will calculate the prime factors of 1710 and 1719.

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

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 1710 and 1719.

LCM(1710,1719) = 21 × 32 × 51 × 191 × 1911
LCM(1710,1719) = 326610