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What is the Least Common Multiple of 2011 and 2031?

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 2011 and 2031 is 4084341.

LCM(2011,2031) = 4084341

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Least Common Multiple of 2011 and 2031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2011 and 2031, than apply into the LCM equation.

GCF(2011,2031) = 1
LCM(2011,2031) = ( 2011 × 2031) / 1
LCM(2011,2031) = 4084341 / 1
LCM(2011,2031) = 4084341

Least Common Multiple (LCM) of 2011 and 2031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2011 and 2031. First we will calculate the prime factors of 2011 and 2031.

Prime Factorization of 2011

Prime factors of 2011 are 2011. Prime factorization of 2011 in exponential form is:

2011 = 20111

Prime Factorization of 2031

Prime factors of 2031 are 3, 677. Prime factorization of 2031 in exponential form is:

2031 = 31 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 2011 and 2031.

LCM(2011,2031) = 20111 × 31 × 6771
LCM(2011,2031) = 4084341