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What is the Least Common Multiple of 3003 and 3021?

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 3003 and 3021 is 3024021.

LCM(3003,3021) = 3024021

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Least Common Multiple of 3003 and 3021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3003 and 3021, than apply into the LCM equation.

GCF(3003,3021) = 3
LCM(3003,3021) = ( 3003 × 3021) / 3
LCM(3003,3021) = 9072063 / 3
LCM(3003,3021) = 3024021

Least Common Multiple (LCM) of 3003 and 3021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3003 and 3021. First we will calculate the prime factors of 3003 and 3021.

Prime Factorization of 3003

Prime factors of 3003 are 3, 7, 11, 13. Prime factorization of 3003 in exponential form is:

3003 = 31 × 71 × 111 × 131

Prime Factorization of 3021

Prime factors of 3021 are 3, 19, 53. Prime factorization of 3021 in exponential form is:

3021 = 31 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3003 and 3021.

LCM(3003,3021) = 31 × 71 × 111 × 131 × 191 × 531
LCM(3003,3021) = 3024021