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What is the Least Common Multiple of 1741 and 1760?

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 1741 and 1760 is 3064160.

LCM(1741,1760) = 3064160

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Least Common Multiple of 1741 and 1760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1741 and 1760, than apply into the LCM equation.

GCF(1741,1760) = 1
LCM(1741,1760) = ( 1741 × 1760) / 1
LCM(1741,1760) = 3064160 / 1
LCM(1741,1760) = 3064160

Least Common Multiple (LCM) of 1741 and 1760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1760. First we will calculate the prime factors of 1741 and 1760.

Prime Factorization of 1741

Prime factors of 1741 are 1741. Prime factorization of 1741 in exponential form is:

1741 = 17411

Prime Factorization of 1760

Prime factors of 1760 are 2, 5, 11. Prime factorization of 1760 in exponential form is:

1760 = 25 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1760.

LCM(1741,1760) = 17411 × 25 × 51 × 111
LCM(1741,1760) = 3064160