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What is the Least Common Multiple of 1810 and 1822?

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 1810 and 1822 is 1648910.

LCM(1810,1822) = 1648910

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Least Common Multiple of 1810 and 1822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1810 and 1822, than apply into the LCM equation.

GCF(1810,1822) = 2
LCM(1810,1822) = ( 1810 × 1822) / 2
LCM(1810,1822) = 3297820 / 2
LCM(1810,1822) = 1648910

Least Common Multiple (LCM) of 1810 and 1822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1810 and 1822. First we will calculate the prime factors of 1810 and 1822.

Prime Factorization of 1810

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

1810 = 21 × 51 × 1811

Prime Factorization of 1822

Prime factors of 1822 are 2, 911. Prime factorization of 1822 in exponential form is:

1822 = 21 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 1810 and 1822.

LCM(1810,1822) = 21 × 51 × 1811 × 9111
LCM(1810,1822) = 1648910