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 7092 the smallest integer that is 12567024 that is divisible by both numbers.
Least Common Multiple (LCM) of 7088 and 7092 is 12567024.
LCM(7088,7092) = 12567024
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 7092. First we will calculate the prime factors of 7088 and 7092.
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 7092
2 | 7092 |
2 | 3546 |
3 | 1773 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 7092 are 2, 3,197. Prime factorization of 7092 in exponential form is:
7092 = 22×32×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 7088 and 7092.
LCM(7088,7092) = 24×32×1971×4431
LCM(7088,7092) = 12567024
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 7092
List of positive integer factors of 7092 that divides 7092 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7088 and 7092, than apply into the LCM equation.
GCF(7088,7092) = 4
LCM(7088,7092) = ( 7088 × 7092) / 4
LCM(7088,7092) = 50268096 / 4
LCM(7088,7092) = 12567024
(i) The LCM of 7092 and 7088 is associative
LCM of 7088 and 7092 = LCM of 7092 and 7088
1. What is the LCM of 7088 and 7092?
Answer: LCM of 7088 and 7092 is 12567024.
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 7092?
Answer: Factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092. There are 18 integers that are factors of 7092. The greatest factor of 7092 is 7092.
4. How to Find the LCM of 7088 and 7092?
Answer:
Least Common Multiple of 7088 and 7092 = 12567024
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 7092
7092 = 2 x 2 x 3 x 3 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12567024 = 2 x 2 x 2 x 2 x 3 x 3 x 197 x 443
Step 4: Therefore, the least common multiple of 7088 and 7092 is 12567024.