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What is the Least Common Multiple of 3027 and 3045?

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 3027 and 3045 is 3072405.

LCM(3027,3045) = 3072405

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Least Common Multiple of 3027 and 3045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3027 and 3045, than apply into the LCM equation.

GCF(3027,3045) = 3
LCM(3027,3045) = ( 3027 × 3045) / 3
LCM(3027,3045) = 9217215 / 3
LCM(3027,3045) = 3072405

Least Common Multiple (LCM) of 3027 and 3045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3027 and 3045. First we will calculate the prime factors of 3027 and 3045.

Prime Factorization of 3027

Prime factors of 3027 are 3, 1009. Prime factorization of 3027 in exponential form is:

3027 = 31 × 10091

Prime Factorization of 3045

Prime factors of 3045 are 3, 5, 7, 29. Prime factorization of 3045 in exponential form is:

3045 = 31 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 3027 and 3045.

LCM(3027,3045) = 31 × 10091 × 51 × 71 × 291
LCM(3027,3045) = 3072405