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What is the Least Common Multiple of 3054 and 3071?

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 3054 and 3071 is 9378834.

LCM(3054,3071) = 9378834

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Least Common Multiple of 3054 and 3071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3054 and 3071, than apply into the LCM equation.

GCF(3054,3071) = 1
LCM(3054,3071) = ( 3054 × 3071) / 1
LCM(3054,3071) = 9378834 / 1
LCM(3054,3071) = 9378834

Least Common Multiple (LCM) of 3054 and 3071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3054 and 3071. First we will calculate the prime factors of 3054 and 3071.

Prime Factorization of 3054

Prime factors of 3054 are 2, 3, 509. Prime factorization of 3054 in exponential form is:

3054 = 21 × 31 × 5091

Prime Factorization of 3071

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

3071 = 371 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 3054 and 3071.

LCM(3054,3071) = 21 × 31 × 5091 × 371 × 831
LCM(3054,3071) = 9378834