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What is the Least Common Multiple of 1742 and 1759?

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 1742 and 1759 is 3064178.

LCM(1742,1759) = 3064178

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Least Common Multiple of 1742 and 1759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1742 and 1759, than apply into the LCM equation.

GCF(1742,1759) = 1
LCM(1742,1759) = ( 1742 × 1759) / 1
LCM(1742,1759) = 3064178 / 1
LCM(1742,1759) = 3064178

Least Common Multiple (LCM) of 1742 and 1759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1742 and 1759. First we will calculate the prime factors of 1742 and 1759.

Prime Factorization of 1742

Prime factors of 1742 are 2, 13, 67. Prime factorization of 1742 in exponential form is:

1742 = 21 × 131 × 671

Prime Factorization of 1759

Prime factors of 1759 are 1759. Prime factorization of 1759 in exponential form is:

1759 = 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 1742 and 1759.

LCM(1742,1759) = 21 × 131 × 671 × 17591
LCM(1742,1759) = 3064178