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What is the Least Common Multiple of 1713 and 1727?

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 1713 and 1727 is 2958351.

LCM(1713,1727) = 2958351

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Least Common Multiple of 1713 and 1727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1713 and 1727, than apply into the LCM equation.

GCF(1713,1727) = 1
LCM(1713,1727) = ( 1713 × 1727) / 1
LCM(1713,1727) = 2958351 / 1
LCM(1713,1727) = 2958351

Least Common Multiple (LCM) of 1713 and 1727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1713 and 1727. First we will calculate the prime factors of 1713 and 1727.

Prime Factorization of 1713

Prime factors of 1713 are 3, 571. Prime factorization of 1713 in exponential form is:

1713 = 31 × 5711

Prime Factorization of 1727

Prime factors of 1727 are 11, 157. Prime factorization of 1727 in exponential form is:

1727 = 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1713 and 1727.

LCM(1713,1727) = 31 × 5711 × 111 × 1571
LCM(1713,1727) = 2958351