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What is the Least Common Multiple of 1826 and 1842?

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 1826 and 1842 is 1681746.

LCM(1826,1842) = 1681746

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Least Common Multiple of 1826 and 1842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1826 and 1842, than apply into the LCM equation.

GCF(1826,1842) = 2
LCM(1826,1842) = ( 1826 × 1842) / 2
LCM(1826,1842) = 3363492 / 2
LCM(1826,1842) = 1681746

Least Common Multiple (LCM) of 1826 and 1842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1826 and 1842. First we will calculate the prime factors of 1826 and 1842.

Prime Factorization of 1826

Prime factors of 1826 are 2, 11, 83. Prime factorization of 1826 in exponential form is:

1826 = 21 × 111 × 831

Prime Factorization of 1842

Prime factors of 1842 are 2, 3, 307. Prime factorization of 1842 in exponential form is:

1842 = 21 × 31 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1826 and 1842.

LCM(1826,1842) = 21 × 111 × 831 × 31 × 3071
LCM(1826,1842) = 1681746