Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7116 and 7124 the smallest integer that is 12673596 that is divisible by both numbers.
Least Common Multiple (LCM) of 7116 and 7124 is 12673596.
LCM(7116,7124) = 12673596
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 7116 and 7124. First we will calculate the prime factors of 7116 and 7124.
Prime Factorization of 7116
2 | 7116 |
2 | 3558 |
3 | 1779 |
593 | 593 |
1 |
Prime factors of 7116 are 2, 3,593. Prime factorization of 7116 in exponential form is:
7116 = 22×31×5931
Prime Factorization of 7124
2 | 7124 |
2 | 3562 |
13 | 1781 |
137 | 137 |
1 |
Prime factors of 7124 are 2, 13,137. Prime factorization of 7124 in exponential form is:
7124 = 22×131×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 7116 and 7124.
LCM(7116,7124) = 22×31×131×1371×5931
LCM(7116,7124) = 12673596
Factors of 7116
List of positive integer factors of 7116 that divides 7116 without a remainder.
1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
Factors of 7124
List of positive integer factors of 7124 that divides 7124 without a remainder.
1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7116 and 7124, than apply into the LCM equation.
GCF(7116,7124) = 4
LCM(7116,7124) = ( 7116 × 7124) / 4
LCM(7116,7124) = 50694384 / 4
LCM(7116,7124) = 12673596
(i) The LCM of 7124 and 7116 is associative
LCM of 7116 and 7124 = LCM of 7124 and 7116
1. What is the LCM of 7116 and 7124?
Answer: LCM of 7116 and 7124 is 12673596.
2. What are the Factors of 7116?
Answer: Factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116. There are 12 integers that are factors of 7116. The greatest factor of 7116 is 7116.
3. What are the Factors of 7124?
Answer: Factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124. There are 12 integers that are factors of 7124. The greatest factor of 7124 is 7124.
4. How to Find the LCM of 7116 and 7124?
Answer:
Least Common Multiple of 7116 and 7124 = 12673596
Step 1: Find the prime factorization of 7116
7116 = 2 x 2 x 3 x 593
Step 2: Find the prime factorization of 7124
7124 = 2 x 2 x 13 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12673596 = 2 x 2 x 3 x 13 x 137 x 593
Step 4: Therefore, the least common multiple of 7116 and 7124 is 12673596.