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What is the Least Common Multiple of 2091 and 2097?

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 2091 and 2097 is 1461609.

LCM(2091,2097) = 1461609

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Least Common Multiple of 2091 and 2097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2091 and 2097, than apply into the LCM equation.

GCF(2091,2097) = 3
LCM(2091,2097) = ( 2091 × 2097) / 3
LCM(2091,2097) = 4384827 / 3
LCM(2091,2097) = 1461609

Least Common Multiple (LCM) of 2091 and 2097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2091 and 2097. First we will calculate the prime factors of 2091 and 2097.

Prime Factorization of 2091

Prime factors of 2091 are 3, 17, 41. Prime factorization of 2091 in exponential form is:

2091 = 31 × 171 × 411

Prime Factorization of 2097

Prime factors of 2097 are 3, 233. Prime factorization of 2097 in exponential form is:

2097 = 32 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 2091 and 2097.

LCM(2091,2097) = 32 × 171 × 411 × 2331
LCM(2091,2097) = 1461609