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What is the Least Common Multiple of 3071 and 3082?

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 3071 and 3082 is 9464822.

LCM(3071,3082) = 9464822

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Least Common Multiple of 3071 and 3082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3071 and 3082, than apply into the LCM equation.

GCF(3071,3082) = 1
LCM(3071,3082) = ( 3071 × 3082) / 1
LCM(3071,3082) = 9464822 / 1
LCM(3071,3082) = 9464822

Least Common Multiple (LCM) of 3071 and 3082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3071 and 3082. First we will calculate the prime factors of 3071 and 3082.

Prime Factorization of 3071

Prime factors of 3071 are 37, 83. Prime factorization of 3071 in exponential form is:

3071 = 371 × 831

Prime Factorization of 3082

Prime factors of 3082 are 2, 23, 67. Prime factorization of 3082 in exponential form is:

3082 = 21 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3071 and 3082.

LCM(3071,3082) = 371 × 831 × 21 × 231 × 671
LCM(3071,3082) = 9464822