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What is the Least Common Multiple of 1712 and 1731?

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 1712 and 1731 is 2963472.

LCM(1712,1731) = 2963472

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Least Common Multiple of 1712 and 1731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1712 and 1731, than apply into the LCM equation.

GCF(1712,1731) = 1
LCM(1712,1731) = ( 1712 × 1731) / 1
LCM(1712,1731) = 2963472 / 1
LCM(1712,1731) = 2963472

Least Common Multiple (LCM) of 1712 and 1731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1712 and 1731. First we will calculate the prime factors of 1712 and 1731.

Prime Factorization of 1712

Prime factors of 1712 are 2, 107. Prime factorization of 1712 in exponential form is:

1712 = 24 × 1071

Prime Factorization of 1731

Prime factors of 1731 are 3, 577. Prime factorization of 1731 in exponential form is:

1731 = 31 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 1712 and 1731.

LCM(1712,1731) = 24 × 1071 × 31 × 5771
LCM(1712,1731) = 2963472