Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7088 and 7094 the smallest integer that is 25141136 that is divisible by both numbers.
Least Common Multiple (LCM) of 7088 and 7094 is 25141136.
LCM(7088,7094) = 25141136
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 7088 and 7094. First we will calculate the prime factors of 7088 and 7094.
Prime Factorization of 7088
2 | 7088 |
2 | 3544 |
2 | 1772 |
2 | 886 |
443 | 443 |
1 |
Prime factors of 7088 are 2,443. Prime factorization of 7088 in exponential form is:
7088 = 24×4431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7088 and 7094.
LCM(7088,7094) = 24×4431×35471
LCM(7088,7094) = 25141136
Factors of 7088
List of positive integer factors of 7088 that divides 7088 without a remainder.
1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088
Factors of 7094
List of positive integer factors of 7094 that divides 7094 without a remainder.
1, 2, 3547, 7094
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7088 and 7094, than apply into the LCM equation.
GCF(7088,7094) = 2
LCM(7088,7094) = ( 7088 × 7094) / 2
LCM(7088,7094) = 50282272 / 2
LCM(7088,7094) = 25141136
(i) The LCM of 7094 and 7088 is associative
LCM of 7088 and 7094 = LCM of 7094 and 7088
1. What is the LCM of 7088 and 7094?
Answer: LCM of 7088 and 7094 is 25141136.
2. What are the Factors of 7088?
Answer: Factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088. There are 10 integers that are factors of 7088. The greatest factor of 7088 is 7088.
3. 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.
4. How to Find the LCM of 7088 and 7094?
Answer:
Least Common Multiple of 7088 and 7094 = 25141136
Step 1: Find the prime factorization of 7088
7088 = 2 x 2 x 2 x 2 x 443
Step 2: Find the prime factorization of 7094
7094 = 2 x 3547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25141136 = 2 x 2 x 2 x 2 x 443 x 3547
Step 4: Therefore, the least common multiple of 7088 and 7094 is 25141136.