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What is the Least Common Multiple of 2083 and 2100?

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 2083 and 2100 is 4374300.

LCM(2083,2100) = 4374300

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Least Common Multiple of 2083 and 2100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2083 and 2100, than apply into the LCM equation.

GCF(2083,2100) = 1
LCM(2083,2100) = ( 2083 × 2100) / 1
LCM(2083,2100) = 4374300 / 1
LCM(2083,2100) = 4374300

Least Common Multiple (LCM) of 2083 and 2100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2083 and 2100. First we will calculate the prime factors of 2083 and 2100.

Prime Factorization of 2083

Prime factors of 2083 are 2083. Prime factorization of 2083 in exponential form is:

2083 = 20831

Prime Factorization of 2100

Prime factors of 2100 are 2, 3, 5, 7. Prime factorization of 2100 in exponential form is:

2100 = 22 × 31 × 52 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 2083 and 2100.

LCM(2083,2100) = 20831 × 22 × 31 × 52 × 71
LCM(2083,2100) = 4374300