Least Common Multiple of 1092 and 1097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1092 and 1097 the smallest integer that is 1197924 that is divisible by both numbers.

Least Common Multiple (LCM) of 1092 and 1097 is 1197924.

LCM(1092,1097) = 1197924

LCM of 1092 and 1097

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

LCM of:
and

Least Common Multiple of 1092 and 1097

LCM of 1092 and 1097 is 1197924

Least common multiple can be found by multiplying the highest exponent prime factors of 1092 and 1097. First we will calculate the prime factors of 1092 and 1097.

Prime Factorization of 1092


2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 1092 are 2, 3, 7,13. Prime factorization of 1092 in exponential form is:

1092 = 22×31×71×131

Prime Factorization of 1097


1097 1097
1

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

1097 = 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 1092 and 1097.

LCM(1092,1097) = 22×31×71×131×10971
LCM(1092,1097) = 1197924

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092

Factors of 1097

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

1, 1097

Least Common Multiple of 1092 and 1097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1092 and 1097, than apply into the LCM equation.

GCF(1092,1097) = 1
LCM(1092,1097) = ( 1092 × 1097) / 1
LCM(1092,1097) = 1197924 / 1
LCM(1092,1097) = 1197924

Properties of LCM 1092 and 1097

(i) The LCM of 1097 and 1092 is associative

LCM of 1092 and 1097 = LCM of 1097 and 1092

Related Least Common Multiples of 1092

Related Least Common Multiples of 1097

Frequently Asked Questions on LCM of 1092 and 1097

1. What is the LCM of 1092 and 1097?

Answer: LCM of 1092 and 1097 is 1197924.

2. What are the Factors of 1092?

Answer: Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. There are 24 integers that are factors of 1092. The greatest factor of 1092 is 1092.

3. 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.

4. How to Find the LCM of 1092 and 1097?

Answer:

Least Common Multiple of 1092 and 1097 = 1197924

Step 1: Find the prime factorization of 1092

1092 = 2 x 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 1097

1097 = 1097

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

LCM = 1197924 = 2 x 2 x 3 x 7 x 13 x 1097

Step 4: Therefore, the least common multiple of 1092 and 1097 is 1197924.