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What is the Least Common Multiple of 1741 and 1754?

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 1754 is 3053714.

LCM(1741,1754) = 3053714

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Least Common Multiple of 1741 and 1754 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 1754, than apply into the LCM equation.

GCF(1741,1754) = 1
LCM(1741,1754) = ( 1741 × 1754) / 1
LCM(1741,1754) = 3053714 / 1
LCM(1741,1754) = 3053714

Least Common Multiple (LCM) of 1741 and 1754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1754. First we will calculate the prime factors of 1741 and 1754.

Prime Factorization of 1741

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

1741 = 17411

Prime Factorization of 1754

Prime factors of 1754 are 2, 877. Prime factorization of 1754 in exponential form is:

1754 = 21 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1754.

LCM(1741,1754) = 17411 × 21 × 8771
LCM(1741,1754) = 3053714