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What is the Least Common Multiple of 2051 and 2071?

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 2051 and 2071 is 4247621.

LCM(2051,2071) = 4247621

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Least Common Multiple of 2051 and 2071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2051 and 2071, than apply into the LCM equation.

GCF(2051,2071) = 1
LCM(2051,2071) = ( 2051 × 2071) / 1
LCM(2051,2071) = 4247621 / 1
LCM(2051,2071) = 4247621

Least Common Multiple (LCM) of 2051 and 2071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2051 and 2071. First we will calculate the prime factors of 2051 and 2071.

Prime Factorization of 2051

Prime factors of 2051 are 7, 293. Prime factorization of 2051 in exponential form is:

2051 = 71 × 2931

Prime Factorization of 2071

Prime factors of 2071 are 19, 109. Prime factorization of 2071 in exponential form is:

2071 = 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2051 and 2071.

LCM(2051,2071) = 71 × 2931 × 191 × 1091
LCM(2051,2071) = 4247621