Least Common Multiple of 1098 and 1105

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 1105 the smallest integer that is 1213290 that is divisible by both numbers.

Least Common Multiple (LCM) of 1098 and 1105 is 1213290.

LCM(1098,1105) = 1213290

LCM of 1098 and 1105

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

LCM of:
and

Least Common Multiple of 1098 and 1105

LCM of 1098 and 1105 is 1213290

Least common multiple can be found by multiplying the highest exponent prime factors of 1098 and 1105. First we will calculate the prime factors of 1098 and 1105.

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 1105


5 1105
13 221
17 17
1

Prime factors of 1105 are 5, 13,17. Prime factorization of 1105 in exponential form is:

1105 = 51×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1098 and 1105.

LCM(1098,1105) = 21×32×51×131×171×611
LCM(1098,1105) = 1213290

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 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1, 5, 13, 17, 65, 85, 221, 1105

Least Common Multiple of 1098 and 1105 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 1105, than apply into the LCM equation.

GCF(1098,1105) = 1
LCM(1098,1105) = ( 1098 × 1105) / 1
LCM(1098,1105) = 1213290 / 1
LCM(1098,1105) = 1213290

Properties of LCM 1098 and 1105

(i) The LCM of 1105 and 1098 is associative

LCM of 1098 and 1105 = LCM of 1105 and 1098

Related Least Common Multiples of 1098

Related Least Common Multiples of 1105

Frequently Asked Questions on LCM of 1098 and 1105

1. What is the LCM of 1098 and 1105?

Answer: LCM of 1098 and 1105 is 1213290.

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 1105?

Answer: Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. There are 8 integers that are factors of 1105. The greatest factor of 1105 is 1105.

4. How to Find the LCM of 1098 and 1105?

Answer:

Least Common Multiple of 1098 and 1105 = 1213290

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 1105

1105 = 5 x 13 x 17

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

LCM = 1213290 = 2 x 3 x 3 x 5 x 13 x 17 x 61

Step 4: Therefore, the least common multiple of 1098 and 1105 is 1213290.