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What is the Least Common Multiple of 2047 and 2052?

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 2047 and 2052 is 4200444.

LCM(2047,2052) = 4200444

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Least Common Multiple of 2047 and 2052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2047 and 2052, than apply into the LCM equation.

GCF(2047,2052) = 1
LCM(2047,2052) = ( 2047 × 2052) / 1
LCM(2047,2052) = 4200444 / 1
LCM(2047,2052) = 4200444

Least Common Multiple (LCM) of 2047 and 2052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2047 and 2052. First we will calculate the prime factors of 2047 and 2052.

Prime Factorization of 2047

Prime factors of 2047 are 23, 89. Prime factorization of 2047 in exponential form is:

2047 = 231 × 891

Prime Factorization of 2052

Prime factors of 2052 are 2, 3, 19. Prime factorization of 2052 in exponential form is:

2052 = 22 × 33 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2047 and 2052.

LCM(2047,2052) = 231 × 891 × 22 × 33 × 191
LCM(2047,2052) = 4200444