Least Common Multiple of 1090 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 1090 and 1098 the smallest integer that is 598410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1090 and 1098 is 598410.

LCM(1090,1098) = 598410

LCM of 1090 and 1098

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

LCM of:
and

Least Common Multiple of 1090 and 1098

LCM of 1090 and 1098 is 598410

Least common multiple can be found by multiplying the highest exponent prime factors of 1090 and 1098. First we will calculate the prime factors of 1090 and 1098.

Prime Factorization of 1090


2 1090
5 545
109 109
1

Prime factors of 1090 are 2, 5,109. Prime factorization of 1090 in exponential form is:

1090 = 21×51×1091

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 1090 and 1098.

LCM(1090,1098) = 21×32×51×611×1091
LCM(1090,1098) = 598410

Factors of 1090

List of positive integer factors of 1090 that divides 1090 without a remainder.

1, 2, 5, 10, 109, 218, 545, 1090

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 1090 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 1090 and 1098, than apply into the LCM equation.

GCF(1090,1098) = 2
LCM(1090,1098) = ( 1090 × 1098) / 2
LCM(1090,1098) = 1196820 / 2
LCM(1090,1098) = 598410

Properties of LCM 1090 and 1098

(i) The LCM of 1098 and 1090 is associative

LCM of 1090 and 1098 = LCM of 1098 and 1090

Related Least Common Multiples of 1090

Related Least Common Multiples of 1098

Frequently Asked Questions on LCM of 1090 and 1098

1. What is the LCM of 1090 and 1098?

Answer: LCM of 1090 and 1098 is 598410.

2. What are the Factors of 1090?

Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.

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 1090 and 1098?

Answer:

Least Common Multiple of 1090 and 1098 = 598410

Step 1: Find the prime factorization of 1090

1090 = 2 x 5 x 109

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 = 598410 = 2 x 3 x 3 x 5 x 61 x 109

Step 4: Therefore, the least common multiple of 1090 and 1098 is 598410.