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What is the Least Common Multiple of 2061 and 2068?

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 2061 and 2068 is 4262148.

LCM(2061,2068) = 4262148

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Least Common Multiple of 2061 and 2068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2061 and 2068, than apply into the LCM equation.

GCF(2061,2068) = 1
LCM(2061,2068) = ( 2061 × 2068) / 1
LCM(2061,2068) = 4262148 / 1
LCM(2061,2068) = 4262148

Least Common Multiple (LCM) of 2061 and 2068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2061 and 2068. First we will calculate the prime factors of 2061 and 2068.

Prime Factorization of 2061

Prime factors of 2061 are 3, 229. Prime factorization of 2061 in exponential form is:

2061 = 32 × 2291

Prime Factorization of 2068

Prime factors of 2068 are 2, 11, 47. Prime factorization of 2068 in exponential form is:

2068 = 22 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2061 and 2068.

LCM(2061,2068) = 32 × 2291 × 22 × 111 × 471
LCM(2061,2068) = 4262148