Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7096 and 7102 the smallest integer that is 25197896 that is divisible by both numbers.
Least Common Multiple (LCM) of 7096 and 7102 is 25197896.
LCM(7096,7102) = 25197896
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 7096 and 7102. First we will calculate the prime factors of 7096 and 7102.
Prime Factorization of 7096
2 | 7096 |
2 | 3548 |
2 | 1774 |
887 | 887 |
1 |
Prime factors of 7096 are 2,887. Prime factorization of 7096 in exponential form is:
7096 = 23×8871
Prime Factorization of 7102
2 | 7102 |
53 | 3551 |
67 | 67 |
1 |
Prime factors of 7102 are 2, 53,67. Prime factorization of 7102 in exponential form is:
7102 = 21×531×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7096 and 7102.
LCM(7096,7102) = 23×531×671×8871
LCM(7096,7102) = 25197896
Factors of 7096
List of positive integer factors of 7096 that divides 7096 without a remainder.
1, 2, 4, 8, 887, 1774, 3548, 7096
Factors of 7102
List of positive integer factors of 7102 that divides 7102 without a remainder.
1, 2, 53, 67, 106, 134, 3551, 7102
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7096 and 7102, than apply into the LCM equation.
GCF(7096,7102) = 2
LCM(7096,7102) = ( 7096 × 7102) / 2
LCM(7096,7102) = 50395792 / 2
LCM(7096,7102) = 25197896
(i) The LCM of 7102 and 7096 is associative
LCM of 7096 and 7102 = LCM of 7102 and 7096
1. What is the LCM of 7096 and 7102?
Answer: LCM of 7096 and 7102 is 25197896.
2. What are the Factors of 7096?
Answer: Factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096. There are 8 integers that are factors of 7096. The greatest factor of 7096 is 7096.
3. What are the Factors of 7102?
Answer: Factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102. There are 8 integers that are factors of 7102. The greatest factor of 7102 is 7102.
4. How to Find the LCM of 7096 and 7102?
Answer:
Least Common Multiple of 7096 and 7102 = 25197896
Step 1: Find the prime factorization of 7096
7096 = 2 x 2 x 2 x 887
Step 2: Find the prime factorization of 7102
7102 = 2 x 53 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25197896 = 2 x 2 x 2 x 53 x 67 x 887
Step 4: Therefore, the least common multiple of 7096 and 7102 is 25197896.