Least Common Multiple of 1092 and 1098

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 1098 the smallest integer that is 199836 that is divisible by both numbers.

Least Common Multiple (LCM) of 1092 and 1098 is 199836.

LCM(1092,1098) = 199836

LCM of 1092 and 1098

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

LCM of:
and

Least Common Multiple of 1092 and 1098

LCM of 1092 and 1098 is 199836

Least common multiple can be found by multiplying the highest exponent prime factors of 1092 and 1098. First we will calculate the prime factors of 1092 and 1098.

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 1098


2 1098
3 549
3 183
61 61
1

Prime factors of 1098 are 2, 3,61. Prime factorization of 1098 in exponential form is:

1098 = 21×32×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1092 and 1098.

LCM(1092,1098) = 22×32×71×131×611
LCM(1092,1098) = 199836

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 1098

List of positive integer factors of 1098 that divides 1098 without a remainder.

1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098

Least Common Multiple of 1092 and 1098 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 1098, than apply into the LCM equation.

GCF(1092,1098) = 6
LCM(1092,1098) = ( 1092 × 1098) / 6
LCM(1092,1098) = 1199016 / 6
LCM(1092,1098) = 199836

Properties of LCM 1092 and 1098

(i) The LCM of 1098 and 1092 is associative

LCM of 1092 and 1098 = LCM of 1098 and 1092

Related Least Common Multiples of 1092

Related Least Common Multiples of 1098

Frequently Asked Questions on LCM of 1092 and 1098

1. What is the LCM of 1092 and 1098?

Answer: LCM of 1092 and 1098 is 199836.

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 1098?

Answer: Factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098. There are 12 integers that are factors of 1098. The greatest factor of 1098 is 1098.

4. How to Find the LCM of 1092 and 1098?

Answer:

Least Common Multiple of 1092 and 1098 = 199836

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 1098

1098 = 2 x 3 x 3 x 61

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

LCM = 199836 = 2 x 2 x 3 x 3 x 7 x 13 x 61

Step 4: Therefore, the least common multiple of 1092 and 1098 is 199836.