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What is the Least Common Multiple of 2007 and 2027?

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 2007 and 2027 is 4068189.

LCM(2007,2027) = 4068189

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Least Common Multiple of 2007 and 2027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2007 and 2027, than apply into the LCM equation.

GCF(2007,2027) = 1
LCM(2007,2027) = ( 2007 × 2027) / 1
LCM(2007,2027) = 4068189 / 1
LCM(2007,2027) = 4068189

Least Common Multiple (LCM) of 2007 and 2027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2007 and 2027. First we will calculate the prime factors of 2007 and 2027.

Prime Factorization of 2007

Prime factors of 2007 are 3, 223. Prime factorization of 2007 in exponential form is:

2007 = 32 × 2231

Prime Factorization of 2027

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 2007 and 2027.

LCM(2007,2027) = 32 × 2231 × 20271
LCM(2007,2027) = 4068189