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What is the Least Common Multiple of 1735 and 1739?

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 1735 and 1739 is 3017165.

LCM(1735,1739) = 3017165

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Least Common Multiple of 1735 and 1739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1735 and 1739, than apply into the LCM equation.

GCF(1735,1739) = 1
LCM(1735,1739) = ( 1735 × 1739) / 1
LCM(1735,1739) = 3017165 / 1
LCM(1735,1739) = 3017165

Least Common Multiple (LCM) of 1735 and 1739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1735 and 1739. First we will calculate the prime factors of 1735 and 1739.

Prime Factorization of 1735

Prime factors of 1735 are 5, 347. Prime factorization of 1735 in exponential form is:

1735 = 51 × 3471

Prime Factorization of 1739

Prime factors of 1739 are 37, 47. Prime factorization of 1739 in exponential form is:

1739 = 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 1735 and 1739.

LCM(1735,1739) = 51 × 3471 × 371 × 471
LCM(1735,1739) = 3017165