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What is the Least Common Multiple of 1741 and 1757?

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 1757 is 3058937.

LCM(1741,1757) = 3058937

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Least Common Multiple of 1741 and 1757 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 1757, than apply into the LCM equation.

GCF(1741,1757) = 1
LCM(1741,1757) = ( 1741 × 1757) / 1
LCM(1741,1757) = 3058937 / 1
LCM(1741,1757) = 3058937

Least Common Multiple (LCM) of 1741 and 1757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1757. First we will calculate the prime factors of 1741 and 1757.

Prime Factorization of 1741

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

1741 = 17411

Prime Factorization of 1757

Prime factors of 1757 are 7, 251. Prime factorization of 1757 in exponential form is:

1757 = 71 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1757.

LCM(1741,1757) = 17411 × 71 × 2511
LCM(1741,1757) = 3058937