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 1097 the smallest integer that is 1202312 that is divisible by both numbers.
Least Common Multiple (LCM) of 1096 and 1097 is 1202312.
LCM(1096,1097) = 1202312
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1096 and 1097. First we will calculate the prime factors of 1096 and 1097.
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 1097
1097 | 1097 |
1 |
Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:
1097 = 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 1096 and 1097.
LCM(1096,1097) = 23×1371×10971
LCM(1096,1097) = 1202312
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 1097
List of positive integer factors of 1097 that divides 1097 without a remainder.
1, 1097
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1096 and 1097, than apply into the LCM equation.
GCF(1096,1097) = 1
LCM(1096,1097) = ( 1096 × 1097) / 1
LCM(1096,1097) = 1202312 / 1
LCM(1096,1097) = 1202312
(i) The LCM of 1097 and 1096 is associative
LCM of 1096 and 1097 = LCM of 1097 and 1096
1. What is the LCM of 1096 and 1097?
Answer: LCM of 1096 and 1097 is 1202312.
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 1097?
Answer: Factors of 1097 are 1, 1097. There are 2 integers that are factors of 1097. The greatest factor of 1097 is 1097.
4. How to Find the LCM of 1096 and 1097?
Answer:
Least Common Multiple of 1096 and 1097 = 1202312
Step 1: Find the prime factorization of 1096
1096 = 2 x 2 x 2 x 137
Step 2: Find the prime factorization of 1097
1097 = 1097
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1202312 = 2 x 2 x 2 x 137 x 1097
Step 4: Therefore, the least common multiple of 1096 and 1097 is 1202312.