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What is the Least Common Multiple of 4034 and 4051?

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 4034 and 4051 is 16341734.

LCM(4034,4051) = 16341734

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Least Common Multiple of 4034 and 4051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4034 and 4051, than apply into the LCM equation.

GCF(4034,4051) = 1
LCM(4034,4051) = ( 4034 × 4051) / 1
LCM(4034,4051) = 16341734 / 1
LCM(4034,4051) = 16341734

Least Common Multiple (LCM) of 4034 and 4051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4034 and 4051. First we will calculate the prime factors of 4034 and 4051.

Prime Factorization of 4034

Prime factors of 4034 are 2, 2017. Prime factorization of 4034 in exponential form is:

4034 = 21 × 20171

Prime Factorization of 4051

Prime factors of 4051 are 4051. Prime factorization of 4051 in exponential form is:

4051 = 40511

Now multiplying the highest exponent prime factors to calculate the LCM of 4034 and 4051.

LCM(4034,4051) = 21 × 20171 × 40511
LCM(4034,4051) = 16341734