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What is the Least Common Multiple of 1733 and 1753?

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 1733 and 1753 is 3037949.

LCM(1733,1753) = 3037949

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Least Common Multiple of 1733 and 1753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1733 and 1753, than apply into the LCM equation.

GCF(1733,1753) = 1
LCM(1733,1753) = ( 1733 × 1753) / 1
LCM(1733,1753) = 3037949 / 1
LCM(1733,1753) = 3037949

Least Common Multiple (LCM) of 1733 and 1753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1733 and 1753. First we will calculate the prime factors of 1733 and 1753.

Prime Factorization of 1733

Prime factors of 1733 are 1733. Prime factorization of 1733 in exponential form is:

1733 = 17331

Prime Factorization of 1753

Prime factors of 1753 are 1753. Prime factorization of 1753 in exponential form is:

1753 = 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 1733 and 1753.

LCM(1733,1753) = 17331 × 17531
LCM(1733,1753) = 3037949