Least Common Multiple of 2091 and 2097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2091 and 2097 the smallest integer that is 1461609 that is divisible by both numbers.

Least Common Multiple (LCM) of 2091 and 2097 is 1461609.

LCM(2091,2097) = 1461609

LCM of 2091 and 2097

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2091 and 2097

LCM of 2091 and 2097 is 1461609

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


3 2091
17 697
41 41
1

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

2091 = 31×171×411

Prime Factorization of 2097


3 2097
3 699
233 233
1

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

Factors of 2091

List of positive integer factors of 2091 that divides 2091 without a remainder.

1, 3, 17, 41, 51, 123, 697, 2091

Factors of 2097

List of positive integer factors of 2097 that divides 2097 without a remainder.

1, 3, 9, 233, 699, 2097

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

Properties of LCM 2091 and 2097

(i) The LCM of 2097 and 2091 is associative

LCM of 2091 and 2097 = LCM of 2097 and 2091

Related Least Common Multiples of 2091

Related Least Common Multiples of 2097

Frequently Asked Questions on LCM of 2091 and 2097

1. What is the LCM of 2091 and 2097?

Answer: LCM of 2091 and 2097 is 1461609.

2. What are the Factors of 2091?

Answer: Factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091. There are 8 integers that are factors of 2091. The greatest factor of 2091 is 2091.

3. What are the Factors of 2097?

Answer: Factors of 2097 are 1, 3, 9, 233, 699, 2097. There are 6 integers that are factors of 2097. The greatest factor of 2097 is 2097.

4. How to Find the LCM of 2091 and 2097?

Answer:

Least Common Multiple of 2091 and 2097 = 1461609

Step 1: Find the prime factorization of 2091

2091 = 3 x 17 x 41

Step 2: Find the prime factorization of 2097

2097 = 3 x 3 x 233

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1461609 = 3 x 3 x 17 x 41 x 233

Step 4: Therefore, the least common multiple of 2091 and 2097 is 1461609.