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What is the Least Common Multiple of 1837 and 1853?

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 1853 is 3403961.

LCM(1837,1853) = 3403961

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Least Common Multiple of 1837 and 1853 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 1853, than apply into the LCM equation.

GCF(1837,1853) = 1
LCM(1837,1853) = ( 1837 × 1853) / 1
LCM(1837,1853) = 3403961 / 1
LCM(1837,1853) = 3403961

Least Common Multiple (LCM) of 1837 and 1853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1837 and 1853. First we will calculate the prime factors of 1837 and 1853.

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 1853

Prime factors of 1853 are 17, 109. Prime factorization of 1853 in exponential form is:

1853 = 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1837 and 1853.

LCM(1837,1853) = 111 × 1671 × 171 × 1091
LCM(1837,1853) = 3403961