Least Common Multiple of 1096 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 1096 and 1098 the smallest integer that is 601704 that is divisible by both numbers.

Least Common Multiple (LCM) of 1096 and 1098 is 601704.

LCM(1096,1098) = 601704

LCM of 1096 and 1098

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

LCM of:
and

Least Common Multiple of 1096 and 1098

LCM of 1096 and 1098 is 601704

Least common multiple can be found by multiplying the highest exponent prime factors of 1096 and 1098. First we will calculate the prime factors of 1096 and 1098.

Prime Factorization of 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

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 1096 and 1098.

LCM(1096,1098) = 23×32×611×1371
LCM(1096,1098) = 601704

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1, 2, 4, 8, 137, 274, 548, 1096

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 1096 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 1096 and 1098, than apply into the LCM equation.

GCF(1096,1098) = 2
LCM(1096,1098) = ( 1096 × 1098) / 2
LCM(1096,1098) = 1203408 / 2
LCM(1096,1098) = 601704

Properties of LCM 1096 and 1098

(i) The LCM of 1098 and 1096 is associative

LCM of 1096 and 1098 = LCM of 1098 and 1096

Related Least Common Multiples of 1096

Related Least Common Multiples of 1098

Frequently Asked Questions on LCM of 1096 and 1098

1. What is the LCM of 1096 and 1098?

Answer: LCM of 1096 and 1098 is 601704.

2. What are the Factors of 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

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 1096 and 1098?

Answer:

Least Common Multiple of 1096 and 1098 = 601704

Step 1: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

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 = 601704 = 2 x 2 x 2 x 3 x 3 x 61 x 137

Step 4: Therefore, the least common multiple of 1096 and 1098 is 601704.