Least Common Multiple of 5502 and 5509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5502 and 5509 the smallest integer that is 4330074 that is divisible by both numbers.
Least Common Multiple (LCM) of 5502 and 5509 is 4330074.
LCM(5502,5509) = 4330074
LCM of 5502 and 5509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5502 and 5509 by Prime method
- Least Common Multiple of 5502 and 5509 with GCF Formula
LCM of 5502 and 5509 is 4330074
Least common multiple can be found by multiplying the highest exponent prime factors of 5502 and 5509. First we will calculate the prime factors of 5502 and 5509.
Prime Factorization of 5502
| 2 | 5502 |
| 3 | 2751 |
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 5502 are 2, 3, 7,131. Prime factorization of 5502 in exponential form is:
5502 = 21×31×71×1311
Prime Factorization of 5509
| 7 | 5509 |
| 787 | 787 |
| 1 |
Prime factors of 5509 are 7,787. Prime factorization of 5509 in exponential form is:
5509 = 71×7871
Now multiplying the highest exponent prime factors to calculate the LCM of 5502 and 5509.
LCM(5502,5509) = 21×31×71×1311×7871
LCM(5502,5509) = 4330074
Factors of 5502
List of positive integer factors of 5502 that divides 5502 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502
Factors of 5509
List of positive integer factors of 5509 that divides 5509 without a remainder.
1, 7, 787, 5509
Least Common Multiple of 5502 and 5509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5502 and 5509, than apply into the LCM equation.
GCF(5502,5509) = 7
LCM(5502,5509) = ( 5502 × 5509) / 7
LCM(5502,5509) = 30310518 / 7
LCM(5502,5509) = 4330074
Properties of LCM 5502 and 5509
(i) The LCM of 5509 and 5502 is associative
LCM of 5502 and 5509 = LCM of 5509 and 5502
Related Least Common Multiples of 5502
Related Least Common Multiples of 5509
Frequently Asked Questions on LCM of 5502 and 5509
1. What is the LCM of 5502 and 5509?
Answer: LCM of 5502 and 5509 is 4330074.
2. What are the Factors of 5502?
Answer: Factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502. There are 16 integers that are factors of 5502. The greatest factor of 5502 is 5502.
3. What are the Factors of 5509?
Answer: Factors of 5509 are 1, 7, 787, 5509. There are 4 integers that are factors of 5509. The greatest factor of 5509 is 5509.
4. How to Find the LCM of 5502 and 5509?
Answer:
Least Common Multiple of 5502 and 5509 = 4330074
Step 1: Find the prime factorization of 5502
5502 = 2 x 3 x 7 x 131
Step 2: Find the prime factorization of 5509
5509 = 7 x 787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4330074 = 2 x 3 x 7 x 131 x 787
Step 4: Therefore, the least common multiple of 5502 and 5509 is 4330074.