Least Common Multiple of 1098 and 1106

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 1106 the smallest integer that is 607194 that is divisible by both numbers.

Least Common Multiple (LCM) of 1098 and 1106 is 607194.

LCM(1098,1106) = 607194

LCM of 1098 and 1106

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

LCM of:
and

Least Common Multiple of 1098 and 1106

LCM of 1098 and 1106 is 607194

Least common multiple can be found by multiplying the highest exponent prime factors of 1098 and 1106. First we will calculate the prime factors of 1098 and 1106.

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 1106


2 1106
7 553
79 79
1

Prime factors of 1106 are 2, 7,79. Prime factorization of 1106 in exponential form is:

1106 = 21×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1098 and 1106.

LCM(1098,1106) = 21×32×71×611×791
LCM(1098,1106) = 607194

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 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1, 2, 7, 14, 79, 158, 553, 1106

Least Common Multiple of 1098 and 1106 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 1106, than apply into the LCM equation.

GCF(1098,1106) = 2
LCM(1098,1106) = ( 1098 × 1106) / 2
LCM(1098,1106) = 1214388 / 2
LCM(1098,1106) = 607194

Properties of LCM 1098 and 1106

(i) The LCM of 1106 and 1098 is associative

LCM of 1098 and 1106 = LCM of 1106 and 1098

Related Least Common Multiples of 1098

Related Least Common Multiples of 1106

Frequently Asked Questions on LCM of 1098 and 1106

1. What is the LCM of 1098 and 1106?

Answer: LCM of 1098 and 1106 is 607194.

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 1106?

Answer: Factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106. There are 8 integers that are factors of 1106. The greatest factor of 1106 is 1106.

4. How to Find the LCM of 1098 and 1106?

Answer:

Least Common Multiple of 1098 and 1106 = 607194

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 1106

1106 = 2 x 7 x 79

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

LCM = 607194 = 2 x 3 x 3 x 7 x 61 x 79

Step 4: Therefore, the least common multiple of 1098 and 1106 is 607194.