Least Common Multiple of 1096 and 1101

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 1101 the smallest integer that is 1206696 that is divisible by both numbers.

Least Common Multiple (LCM) of 1096 and 1101 is 1206696.

LCM(1096,1101) = 1206696

LCM of 1096 and 1101

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

LCM of:
and

Least Common Multiple of 1096 and 1101

LCM of 1096 and 1101 is 1206696

Least common multiple can be found by multiplying the highest exponent prime factors of 1096 and 1101. First we will calculate the prime factors of 1096 and 1101.

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 1101


3 1101
367 367
1

Prime factors of 1101 are 3,367. Prime factorization of 1101 in exponential form is:

1101 = 31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 1096 and 1101.

LCM(1096,1101) = 23×31×1371×3671
LCM(1096,1101) = 1206696

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 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1, 3, 367, 1101

Least Common Multiple of 1096 and 1101 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 1101, than apply into the LCM equation.

GCF(1096,1101) = 1
LCM(1096,1101) = ( 1096 × 1101) / 1
LCM(1096,1101) = 1206696 / 1
LCM(1096,1101) = 1206696

Properties of LCM 1096 and 1101

(i) The LCM of 1101 and 1096 is associative

LCM of 1096 and 1101 = LCM of 1101 and 1096

Related Least Common Multiples of 1096

Related Least Common Multiples of 1101

Frequently Asked Questions on LCM of 1096 and 1101

1. What is the LCM of 1096 and 1101?

Answer: LCM of 1096 and 1101 is 1206696.

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 1101?

Answer: Factors of 1101 are 1, 3, 367, 1101. There are 4 integers that are factors of 1101. The greatest factor of 1101 is 1101.

4. How to Find the LCM of 1096 and 1101?

Answer:

Least Common Multiple of 1096 and 1101 = 1206696

Step 1: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 1101

1101 = 3 x 367

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

LCM = 1206696 = 2 x 2 x 2 x 3 x 137 x 367

Step 4: Therefore, the least common multiple of 1096 and 1101 is 1206696.