Least Common Multiple of 1097 and 1102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1097 and 1102 the smallest integer that is 1208894 that is divisible by both numbers.

Least Common Multiple (LCM) of 1097 and 1102 is 1208894.

LCM(1097,1102) = 1208894

LCM of 1097 and 1102

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

LCM of:
and

Least Common Multiple of 1097 and 1102

LCM of 1097 and 1102 is 1208894

Least common multiple can be found by multiplying the highest exponent prime factors of 1097 and 1102. First we will calculate the prime factors of 1097 and 1102.

Prime Factorization of 1097


1097 1097
1

Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:

1097 = 10971

Prime Factorization of 1102


2 1102
19 551
29 29
1

Prime factors of 1102 are 2, 19,29. Prime factorization of 1102 in exponential form is:

1102 = 21×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1097 and 1102.

LCM(1097,1102) = 21×191×291×10971
LCM(1097,1102) = 1208894

Factors of 1097

List of positive integer factors of 1097 that divides 1097 without a remainder.

1, 1097

Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1, 2, 19, 29, 38, 58, 551, 1102

Least Common Multiple of 1097 and 1102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1097 and 1102, than apply into the LCM equation.

GCF(1097,1102) = 1
LCM(1097,1102) = ( 1097 × 1102) / 1
LCM(1097,1102) = 1208894 / 1
LCM(1097,1102) = 1208894

Properties of LCM 1097 and 1102

(i) The LCM of 1102 and 1097 is associative

LCM of 1097 and 1102 = LCM of 1102 and 1097

Related Least Common Multiples of 1097

Related Least Common Multiples of 1102

Frequently Asked Questions on LCM of 1097 and 1102

1. What is the LCM of 1097 and 1102?

Answer: LCM of 1097 and 1102 is 1208894.

2. What are the Factors of 1097?

Answer: Factors of 1097 are 1, 1097. There are 2 integers that are factors of 1097. The greatest factor of 1097 is 1097.

3. What are the Factors of 1102?

Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.

4. How to Find the LCM of 1097 and 1102?

Answer:

Least Common Multiple of 1097 and 1102 = 1208894

Step 1: Find the prime factorization of 1097

1097 = 1097

Step 2: Find the prime factorization of 1102

1102 = 2 x 19 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 = 1208894 = 2 x 19 x 29 x 1097

Step 4: Therefore, the least common multiple of 1097 and 1102 is 1208894.