Least Common Multiple of 1297 and 1305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1297 and 1305 the smallest integer that is 1692585 that is divisible by both numbers.

Least Common Multiple (LCM) of 1297 and 1305 is 1692585.

LCM(1297,1305) = 1692585

LCM of 1297 and 1305

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

LCM of:
and

Least Common Multiple of 1297 and 1305

LCM of 1297 and 1305 is 1692585

Least common multiple can be found by multiplying the highest exponent prime factors of 1297 and 1305. First we will calculate the prime factors of 1297 and 1305.

Prime Factorization of 1297


1297 1297
1

Prime factors of 1297 are 1297. Prime factorization of 1297 in exponential form is:

1297 = 12971

Prime Factorization of 1305


3 1305
3 435
5 145
29 29
1

Prime factors of 1305 are 3, 5,29. Prime factorization of 1305 in exponential form is:

1305 = 32×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1297 and 1305.

LCM(1297,1305) = 32×51×291×12971
LCM(1297,1305) = 1692585

Factors of 1297

List of positive integer factors of 1297 that divides 1297 without a remainder.

1, 1297

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305

Least Common Multiple of 1297 and 1305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1297 and 1305, than apply into the LCM equation.

GCF(1297,1305) = 1
LCM(1297,1305) = ( 1297 × 1305) / 1
LCM(1297,1305) = 1692585 / 1
LCM(1297,1305) = 1692585

Properties of LCM 1297 and 1305

(i) The LCM of 1305 and 1297 is associative

LCM of 1297 and 1305 = LCM of 1305 and 1297

Related Least Common Multiples of 1297

Related Least Common Multiples of 1305

Frequently Asked Questions on LCM of 1297 and 1305

1. What is the LCM of 1297 and 1305?

Answer: LCM of 1297 and 1305 is 1692585.

2. What are the Factors of 1297?

Answer: Factors of 1297 are 1, 1297. There are 2 integers that are factors of 1297. The greatest factor of 1297 is 1297.

3. What are the Factors of 1305?

Answer: Factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305. There are 12 integers that are factors of 1305. The greatest factor of 1305 is 1305.

4. How to Find the LCM of 1297 and 1305?

Answer:

Least Common Multiple of 1297 and 1305 = 1692585

Step 1: Find the prime factorization of 1297

1297 = 1297

Step 2: Find the prime factorization of 1305

1305 = 3 x 3 x 5 x 29

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

LCM = 1692585 = 3 x 3 x 5 x 29 x 1297

Step 4: Therefore, the least common multiple of 1297 and 1305 is 1692585.