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What is the Least Common Multiple of 3082 and 3102?

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 3082 and 3102 is 4780182.

LCM(3082,3102) = 4780182

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Least Common Multiple of 3082 and 3102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3082 and 3102, than apply into the LCM equation.

GCF(3082,3102) = 2
LCM(3082,3102) = ( 3082 × 3102) / 2
LCM(3082,3102) = 9560364 / 2
LCM(3082,3102) = 4780182

Least Common Multiple (LCM) of 3082 and 3102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3082 and 3102. First we will calculate the prime factors of 3082 and 3102.

Prime Factorization of 3082

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

3082 = 21 × 231 × 671

Prime Factorization of 3102

Prime factors of 3102 are 2, 3, 11, 47. Prime factorization of 3102 in exponential form is:

3102 = 21 × 31 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3082 and 3102.

LCM(3082,3102) = 21 × 231 × 671 × 31 × 111 × 471
LCM(3082,3102) = 4780182