Least Common Multiple of 1098 and 1102

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 1102 the smallest integer that is 604998 that is divisible by both numbers.

Least Common Multiple (LCM) of 1098 and 1102 is 604998.

LCM(1098,1102) = 604998

LCM of 1098 and 1102

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

LCM of:
and

Least Common Multiple of 1098 and 1102

LCM of 1098 and 1102 is 604998

Least common multiple can be found by multiplying the highest exponent prime factors of 1098 and 1102. First we will calculate the prime factors of 1098 and 1102.

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 1102


2 1102
19 551
29 29
1

Prime factors of 1102 are 2, 19,29. Prime factorization of 1102 in exponential form is:

1102 = 21×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1098 and 1102.

LCM(1098,1102) = 21×32×191×291×611
LCM(1098,1102) = 604998

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 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1, 2, 19, 29, 38, 58, 551, 1102

Least Common Multiple of 1098 and 1102 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 1102, than apply into the LCM equation.

GCF(1098,1102) = 2
LCM(1098,1102) = ( 1098 × 1102) / 2
LCM(1098,1102) = 1209996 / 2
LCM(1098,1102) = 604998

Properties of LCM 1098 and 1102

(i) The LCM of 1102 and 1098 is associative

LCM of 1098 and 1102 = LCM of 1102 and 1098

Related Least Common Multiples of 1098

Related Least Common Multiples of 1102

Frequently Asked Questions on LCM of 1098 and 1102

1. What is the LCM of 1098 and 1102?

Answer: LCM of 1098 and 1102 is 604998.

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 1102?

Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.

4. How to Find the LCM of 1098 and 1102?

Answer:

Least Common Multiple of 1098 and 1102 = 604998

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 1102

1102 = 2 x 19 x 29

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

LCM = 604998 = 2 x 3 x 3 x 19 x 29 x 61

Step 4: Therefore, the least common multiple of 1098 and 1102 is 604998.