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What is the Least Common Multiple of 1723 and 1729?

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 1723 and 1729 is 2979067.

LCM(1723,1729) = 2979067

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Least Common Multiple of 1723 and 1729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1723 and 1729, than apply into the LCM equation.

GCF(1723,1729) = 1
LCM(1723,1729) = ( 1723 × 1729) / 1
LCM(1723,1729) = 2979067 / 1
LCM(1723,1729) = 2979067

Least Common Multiple (LCM) of 1723 and 1729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1723 and 1729. First we will calculate the prime factors of 1723 and 1729.

Prime Factorization of 1723

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 17231

Prime Factorization of 1729

Prime factors of 1729 are 7, 13, 19. Prime factorization of 1729 in exponential form is:

1729 = 71 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1723 and 1729.

LCM(1723,1729) = 17231 × 71 × 131 × 191
LCM(1723,1729) = 2979067