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What is the Least Common Multiple of 1741 and 1750?

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 1750 is 3046750.

LCM(1741,1750) = 3046750

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Least Common Multiple of 1741 and 1750 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 1750, than apply into the LCM equation.

GCF(1741,1750) = 1
LCM(1741,1750) = ( 1741 × 1750) / 1
LCM(1741,1750) = 3046750 / 1
LCM(1741,1750) = 3046750

Least Common Multiple (LCM) of 1741 and 1750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1750. First we will calculate the prime factors of 1741 and 1750.

Prime Factorization of 1741

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

1741 = 17411

Prime Factorization of 1750

Prime factors of 1750 are 2, 5, 7. Prime factorization of 1750 in exponential form is:

1750 = 21 × 53 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1750.

LCM(1741,1750) = 17411 × 21 × 53 × 71
LCM(1741,1750) = 3046750