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What is the Least Common Multiple of 4027 and 4038?

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 4027 and 4038 is 16261026.

LCM(4027,4038) = 16261026

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Least Common Multiple of 4027 and 4038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4027 and 4038, than apply into the LCM equation.

GCF(4027,4038) = 1
LCM(4027,4038) = ( 4027 × 4038) / 1
LCM(4027,4038) = 16261026 / 1
LCM(4027,4038) = 16261026

Least Common Multiple (LCM) of 4027 and 4038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4027 and 4038. First we will calculate the prime factors of 4027 and 4038.

Prime Factorization of 4027

Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:

4027 = 40271

Prime Factorization of 4038

Prime factors of 4038 are 2, 3, 673. Prime factorization of 4038 in exponential form is:

4038 = 21 × 31 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 4027 and 4038.

LCM(4027,4038) = 40271 × 21 × 31 × 6731
LCM(4027,4038) = 16261026