Least Common Multiple of 1093 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 1093 and 1098 the smallest integer that is 1200114 that is divisible by both numbers.

Least Common Multiple (LCM) of 1093 and 1098 is 1200114.

LCM(1093,1098) = 1200114

LCM of 1093 and 1098

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

LCM of:
and

Least Common Multiple of 1093 and 1098

LCM of 1093 and 1098 is 1200114

Least common multiple can be found by multiplying the highest exponent prime factors of 1093 and 1098. First we will calculate the prime factors of 1093 and 1098.

Prime Factorization of 1093


1093 1093
1

Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:

1093 = 10931

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 1093 and 1098.

LCM(1093,1098) = 21×32×611×10931
LCM(1093,1098) = 1200114

Factors of 1093

List of positive integer factors of 1093 that divides 1093 without a remainder.

1, 1093

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 1093 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 1093 and 1098, than apply into the LCM equation.

GCF(1093,1098) = 1
LCM(1093,1098) = ( 1093 × 1098) / 1
LCM(1093,1098) = 1200114 / 1
LCM(1093,1098) = 1200114

Properties of LCM 1093 and 1098

(i) The LCM of 1098 and 1093 is associative

LCM of 1093 and 1098 = LCM of 1098 and 1093

Related Least Common Multiples of 1093

Related Least Common Multiples of 1098

Frequently Asked Questions on LCM of 1093 and 1098

1. What is the LCM of 1093 and 1098?

Answer: LCM of 1093 and 1098 is 1200114.

2. What are the Factors of 1093?

Answer: Factors of 1093 are 1, 1093. There are 2 integers that are factors of 1093. The greatest factor of 1093 is 1093.

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 1093 and 1098?

Answer:

Least Common Multiple of 1093 and 1098 = 1200114

Step 1: Find the prime factorization of 1093

1093 = 1093

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 = 1200114 = 2 x 3 x 3 x 61 x 1093

Step 4: Therefore, the least common multiple of 1093 and 1098 is 1200114.