Least Common Multiple of 5495 and 5502
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5495 and 5502 the smallest integer that is 4319070 that is divisible by both numbers.
Least Common Multiple (LCM) of 5495 and 5502 is 4319070.
LCM(5495,5502) = 4319070
LCM of 5495 and 5502
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5495 and 5502 by Prime method
- Least Common Multiple of 5495 and 5502 with GCF Formula
LCM of 5495 and 5502 is 4319070
Least common multiple can be found by multiplying the highest exponent prime factors of 5495 and 5502. First we will calculate the prime factors of 5495 and 5502.
Prime Factorization of 5495
| 5 | 5495 |
| 7 | 1099 |
| 157 | 157 |
| 1 |
Prime factors of 5495 are 5, 7,157. Prime factorization of 5495 in exponential form is:
5495 = 51×71×1571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5495 and 5502.
LCM(5495,5502) = 21×31×51×71×1311×1571
LCM(5495,5502) = 4319070
Factors of 5495
List of positive integer factors of 5495 that divides 5495 without a remainder.
1, 5, 7, 35, 157, 785, 1099, 5495
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
Least Common Multiple of 5495 and 5502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5495 and 5502, than apply into the LCM equation.
GCF(5495,5502) = 7
LCM(5495,5502) = ( 5495 × 5502) / 7
LCM(5495,5502) = 30233490 / 7
LCM(5495,5502) = 4319070
Properties of LCM 5495 and 5502
(i) The LCM of 5502 and 5495 is associative
LCM of 5495 and 5502 = LCM of 5502 and 5495
Related Least Common Multiples of 5495
Related Least Common Multiples of 5502
Frequently Asked Questions on LCM of 5495 and 5502
1. What is the LCM of 5495 and 5502?
Answer: LCM of 5495 and 5502 is 4319070.
2. What are the Factors of 5495?
Answer: Factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495. There are 8 integers that are factors of 5495. The greatest factor of 5495 is 5495.
3. 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.
4. How to Find the LCM of 5495 and 5502?
Answer:
Least Common Multiple of 5495 and 5502 = 4319070
Step 1: Find the prime factorization of 5495
5495 = 5 x 7 x 157
Step 2: Find the prime factorization of 5502
5502 = 2 x 3 x 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4319070 = 2 x 3 x 5 x 7 x 131 x 157
Step 4: Therefore, the least common multiple of 5495 and 5502 is 4319070.