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What is the Least Common Multiple of 3013 and 3023?

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 3023 is 9108299.

LCM(3013,3023) = 9108299

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Least Common Multiple of 3013 and 3023 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 3023, than apply into the LCM equation.

GCF(3013,3023) = 1
LCM(3013,3023) = ( 3013 × 3023) / 1
LCM(3013,3023) = 9108299 / 1
LCM(3013,3023) = 9108299

Least Common Multiple (LCM) of 3013 and 3023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3013 and 3023. First we will calculate the prime factors of 3013 and 3023.

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 3023

Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:

3023 = 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 3013 and 3023.

LCM(3013,3023) = 231 × 1311 × 30231
LCM(3013,3023) = 9108299