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What is the Least Common Multiple of 3031 and 3051?

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 3031 and 3051 is 9247581.

LCM(3031,3051) = 9247581

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Least Common Multiple of 3031 and 3051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3031 and 3051, than apply into the LCM equation.

GCF(3031,3051) = 1
LCM(3031,3051) = ( 3031 × 3051) / 1
LCM(3031,3051) = 9247581 / 1
LCM(3031,3051) = 9247581

Least Common Multiple (LCM) of 3031 and 3051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3031 and 3051. First we will calculate the prime factors of 3031 and 3051.

Prime Factorization of 3031

Prime factors of 3031 are 7, 433. Prime factorization of 3031 in exponential form is:

3031 = 71 × 4331

Prime Factorization of 3051

Prime factors of 3051 are 3, 113. Prime factorization of 3051 in exponential form is:

3051 = 33 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3031 and 3051.

LCM(3031,3051) = 71 × 4331 × 33 × 1131
LCM(3031,3051) = 9247581