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What is the Least Common Multiple of 2044 and 2057?

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 2044 and 2057 is 4204508.

LCM(2044,2057) = 4204508

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Least Common Multiple of 2044 and 2057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2044 and 2057, than apply into the LCM equation.

GCF(2044,2057) = 1
LCM(2044,2057) = ( 2044 × 2057) / 1
LCM(2044,2057) = 4204508 / 1
LCM(2044,2057) = 4204508

Least Common Multiple (LCM) of 2044 and 2057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2044 and 2057. First we will calculate the prime factors of 2044 and 2057.

Prime Factorization of 2044

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

2044 = 22 × 71 × 731

Prime Factorization of 2057

Prime factors of 2057 are 11, 17. Prime factorization of 2057 in exponential form is:

2057 = 112 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2044 and 2057.

LCM(2044,2057) = 22 × 71 × 731 × 112 × 171
LCM(2044,2057) = 4204508