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What is the Least Common Multiple of 1837 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 1837 and 1842 is 3383754.

LCM(1837,1842) = 3383754

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Least Common Multiple of 1837 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 1837 and 1842, than apply into the LCM equation.

GCF(1837,1842) = 1
LCM(1837,1842) = ( 1837 × 1842) / 1
LCM(1837,1842) = 3383754 / 1
LCM(1837,1842) = 3383754

Least Common Multiple (LCM) of 1837 and 1842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1837 and 1842. First we will calculate the prime factors of 1837 and 1842.

Prime Factorization of 1837

Prime factors of 1837 are 11, 167. Prime factorization of 1837 in exponential form is:

1837 = 111 × 1671

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 1837 and 1842.

LCM(1837,1842) = 111 × 1671 × 21 × 31 × 3071
LCM(1837,1842) = 3383754