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What is the Least Common Multiple of 6061 and 6071?

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 6061 and 6071 is 36796331.

LCM(6061,6071) = 36796331

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Least Common Multiple of 6061 and 6071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6061 and 6071, than apply into the LCM equation.

GCF(6061,6071) = 1
LCM(6061,6071) = ( 6061 × 6071) / 1
LCM(6061,6071) = 36796331 / 1
LCM(6061,6071) = 36796331

Least Common Multiple (LCM) of 6061 and 6071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6061 and 6071. First we will calculate the prime factors of 6061 and 6071.

Prime Factorization of 6061

Prime factors of 6061 are 11, 19, 29. Prime factorization of 6061 in exponential form is:

6061 = 111 × 191 × 291

Prime Factorization of 6071

Prime factors of 6071 are 13, 467. Prime factorization of 6071 in exponential form is:

6071 = 131 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 6061 and 6071.

LCM(6061,6071) = 111 × 191 × 291 × 131 × 4671
LCM(6061,6071) = 36796331