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What is the Least Common Multiple of 1791 and 1810?

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 1791 and 1810 is 3241710.

LCM(1791,1810) = 3241710

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Least Common Multiple of 1791 and 1810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1791 and 1810, than apply into the LCM equation.

GCF(1791,1810) = 1
LCM(1791,1810) = ( 1791 × 1810) / 1
LCM(1791,1810) = 3241710 / 1
LCM(1791,1810) = 3241710

Least Common Multiple (LCM) of 1791 and 1810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1791 and 1810. First we will calculate the prime factors of 1791 and 1810.

Prime Factorization of 1791

Prime factors of 1791 are 3, 199. Prime factorization of 1791 in exponential form is:

1791 = 32 × 1991

Prime Factorization of 1810

Prime factors of 1810 are 2, 5, 181. Prime factorization of 1810 in exponential form is:

1810 = 21 × 51 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1791 and 1810.

LCM(1791,1810) = 32 × 1991 × 21 × 51 × 1811
LCM(1791,1810) = 3241710