Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7094 and 7102 the smallest integer that is 25190794 that is divisible by both numbers.
Least Common Multiple (LCM) of 7094 and 7102 is 25190794.
LCM(7094,7102) = 25190794
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 7094 and 7102. First we will calculate the prime factors of 7094 and 7102.
Prime Factorization of 7094
2 | 7094 |
3547 | 3547 |
1 |
Prime factors of 7094 are 2,3547. Prime factorization of 7094 in exponential form is:
7094 = 21×35471
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 7094 and 7102.
LCM(7094,7102) = 21×531×671×35471
LCM(7094,7102) = 25190794
Factors of 7094
List of positive integer factors of 7094 that divides 7094 without a remainder.
1, 2, 3547, 7094
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 7094 and 7102, than apply into the LCM equation.
GCF(7094,7102) = 2
LCM(7094,7102) = ( 7094 × 7102) / 2
LCM(7094,7102) = 50381588 / 2
LCM(7094,7102) = 25190794
(i) The LCM of 7102 and 7094 is associative
LCM of 7094 and 7102 = LCM of 7102 and 7094
1. What is the LCM of 7094 and 7102?
Answer: LCM of 7094 and 7102 is 25190794.
2. What are the Factors of 7094?
Answer: Factors of 7094 are 1, 2, 3547, 7094. There are 4 integers that are factors of 7094. The greatest factor of 7094 is 7094.
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 7094 and 7102?
Answer:
Least Common Multiple of 7094 and 7102 = 25190794
Step 1: Find the prime factorization of 7094
7094 = 2 x 3547
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 = 25190794 = 2 x 53 x 67 x 3547
Step 4: Therefore, the least common multiple of 7094 and 7102 is 25190794.