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What is the Least Common Multiple of 3013 and 3031?

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 3013 and 3031 is 9132403.

LCM(3013,3031) = 9132403

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Least Common Multiple of 3013 and 3031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3013 and 3031, than apply into the LCM equation.

GCF(3013,3031) = 1
LCM(3013,3031) = ( 3013 × 3031) / 1
LCM(3013,3031) = 9132403 / 1
LCM(3013,3031) = 9132403

Least Common Multiple (LCM) of 3013 and 3031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3013 and 3031. First we will calculate the prime factors of 3013 and 3031.

Prime Factorization of 3013

Prime factors of 3013 are 23, 131. Prime factorization of 3013 in exponential form is:

3013 = 231 × 1311

Prime Factorization of 3031

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

3031 = 71 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 3013 and 3031.

LCM(3013,3031) = 231 × 1311 × 71 × 4331
LCM(3013,3031) = 9132403