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What is the Least Common Multiple of 2035 and 2044?

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 2035 and 2044 is 4159540.

LCM(2035,2044) = 4159540

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Least Common Multiple of 2035 and 2044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2035 and 2044, than apply into the LCM equation.

GCF(2035,2044) = 1
LCM(2035,2044) = ( 2035 × 2044) / 1
LCM(2035,2044) = 4159540 / 1
LCM(2035,2044) = 4159540

Least Common Multiple (LCM) of 2035 and 2044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2035 and 2044. First we will calculate the prime factors of 2035 and 2044.

Prime Factorization of 2035

Prime factors of 2035 are 5, 11, 37. Prime factorization of 2035 in exponential form is:

2035 = 51 × 111 × 371

Prime Factorization of 2044

Prime factors of 2044 are 2, 7, 73. Prime factorization of 2044 in exponential form is:

2044 = 22 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 2035 and 2044.

LCM(2035,2044) = 51 × 111 × 371 × 22 × 71 × 731
LCM(2035,2044) = 4159540