Least Common Multiple of 1098 and 1104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1098 and 1104 the smallest integer that is 202032 that is divisible by both numbers.

Least Common Multiple (LCM) of 1098 and 1104 is 202032.

LCM(1098,1104) = 202032

LCM of 1098 and 1104

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

LCM of:
and

Least Common Multiple of 1098 and 1104

LCM of 1098 and 1104 is 202032

Least common multiple can be found by multiplying the highest exponent prime factors of 1098 and 1104. First we will calculate the prime factors of 1098 and 1104.

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

Prime Factorization of 1104


2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 1104 are 2, 3,23. Prime factorization of 1104 in exponential form is:

1104 = 24×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1098 and 1104.

LCM(1098,1104) = 24×32×231×611
LCM(1098,1104) = 202032

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

Factors of 1104

List of positive integer factors of 1104 that divides 1104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104

Least Common Multiple of 1098 and 1104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1098 and 1104, than apply into the LCM equation.

GCF(1098,1104) = 6
LCM(1098,1104) = ( 1098 × 1104) / 6
LCM(1098,1104) = 1212192 / 6
LCM(1098,1104) = 202032

Properties of LCM 1098 and 1104

(i) The LCM of 1104 and 1098 is associative

LCM of 1098 and 1104 = LCM of 1104 and 1098

Related Least Common Multiples of 1098

Related Least Common Multiples of 1104

Frequently Asked Questions on LCM of 1098 and 1104

1. What is the LCM of 1098 and 1104?

Answer: LCM of 1098 and 1104 is 202032.

2. 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.

3. What are the Factors of 1104?

Answer: Factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104. There are 20 integers that are factors of 1104. The greatest factor of 1104 is 1104.

4. How to Find the LCM of 1098 and 1104?

Answer:

Least Common Multiple of 1098 and 1104 = 202032

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 1104

1104 = 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 202032 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 61

Step 4: Therefore, the least common multiple of 1098 and 1104 is 202032.