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What is the Least Common Multiple of 1727 and 1741?

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 1727 and 1741 is 3006707.

LCM(1727,1741) = 3006707

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Least Common Multiple of 1727 and 1741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1727 and 1741, than apply into the LCM equation.

GCF(1727,1741) = 1
LCM(1727,1741) = ( 1727 × 1741) / 1
LCM(1727,1741) = 3006707 / 1
LCM(1727,1741) = 3006707

Least Common Multiple (LCM) of 1727 and 1741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1727 and 1741. First we will calculate the prime factors of 1727 and 1741.

Prime Factorization of 1727

Prime factors of 1727 are 11, 157. Prime factorization of 1727 in exponential form is:

1727 = 111 × 1571

Prime Factorization of 1741

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

1741 = 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 1727 and 1741.

LCM(1727,1741) = 111 × 1571 × 17411
LCM(1727,1741) = 3006707