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What is the Least Common Multiple of 1717 and 1726?

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 1717 and 1726 is 2963542.

LCM(1717,1726) = 2963542

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Least Common Multiple of 1717 and 1726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1717 and 1726, than apply into the LCM equation.

GCF(1717,1726) = 1
LCM(1717,1726) = ( 1717 × 1726) / 1
LCM(1717,1726) = 2963542 / 1
LCM(1717,1726) = 2963542

Least Common Multiple (LCM) of 1717 and 1726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1717 and 1726. First we will calculate the prime factors of 1717 and 1726.

Prime Factorization of 1717

Prime factors of 1717 are 17, 101. Prime factorization of 1717 in exponential form is:

1717 = 171 × 1011

Prime Factorization of 1726

Prime factors of 1726 are 2, 863. Prime factorization of 1726 in exponential form is:

1726 = 21 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 1717 and 1726.

LCM(1717,1726) = 171 × 1011 × 21 × 8631
LCM(1717,1726) = 2963542