Least Common Multiple of 1098 and 1103

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 1103 the smallest integer that is 1211094 that is divisible by both numbers.

Least Common Multiple (LCM) of 1098 and 1103 is 1211094.

LCM(1098,1103) = 1211094

LCM of 1098 and 1103

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

LCM of:
and

Least Common Multiple of 1098 and 1103

LCM of 1098 and 1103 is 1211094

Least common multiple can be found by multiplying the highest exponent prime factors of 1098 and 1103. First we will calculate the prime factors of 1098 and 1103.

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 1103


1103 1103
1

Prime factors of 1103 are 1103. Prime factorization of 1103 in exponential form is:

1103 = 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 1098 and 1103.

LCM(1098,1103) = 21×32×611×11031
LCM(1098,1103) = 1211094

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 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

1, 1103

Least Common Multiple of 1098 and 1103 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 1103, than apply into the LCM equation.

GCF(1098,1103) = 1
LCM(1098,1103) = ( 1098 × 1103) / 1
LCM(1098,1103) = 1211094 / 1
LCM(1098,1103) = 1211094

Properties of LCM 1098 and 1103

(i) The LCM of 1103 and 1098 is associative

LCM of 1098 and 1103 = LCM of 1103 and 1098

Related Least Common Multiples of 1098

Related Least Common Multiples of 1103

Frequently Asked Questions on LCM of 1098 and 1103

1. What is the LCM of 1098 and 1103?

Answer: LCM of 1098 and 1103 is 1211094.

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 1103?

Answer: Factors of 1103 are 1, 1103. There are 2 integers that are factors of 1103. The greatest factor of 1103 is 1103.

4. How to Find the LCM of 1098 and 1103?

Answer:

Least Common Multiple of 1098 and 1103 = 1211094

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 1103

1103 = 1103

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

LCM = 1211094 = 2 x 3 x 3 x 61 x 1103

Step 4: Therefore, the least common multiple of 1098 and 1103 is 1211094.