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What is the Least Common Multiple of 1726 and 1746?

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 1726 and 1746 is 1506798.

LCM(1726,1746) = 1506798

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Least Common Multiple of 1726 and 1746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1726 and 1746, than apply into the LCM equation.

GCF(1726,1746) = 2
LCM(1726,1746) = ( 1726 × 1746) / 2
LCM(1726,1746) = 3013596 / 2
LCM(1726,1746) = 1506798

Least Common Multiple (LCM) of 1726 and 1746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1726 and 1746. First we will calculate the prime factors of 1726 and 1746.

Prime Factorization of 1726

Prime factors of 1726 are 2, 863. Prime factorization of 1726 in exponential form is:

1726 = 21 × 8631

Prime Factorization of 1746

Prime factors of 1746 are 2, 3, 97. Prime factorization of 1746 in exponential form is:

1746 = 21 × 32 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1726 and 1746.

LCM(1726,1746) = 21 × 8631 × 32 × 971
LCM(1726,1746) = 1506798