Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5465 and 5469 the smallest integer that is 29888085 that is divisible by both numbers.
Least Common Multiple (LCM) of 5465 and 5469 is 29888085.
LCM(5465,5469) = 29888085
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 5465 and 5469. First we will calculate the prime factors of 5465 and 5469.
Prime Factorization of 5465
5 | 5465 |
1093 | 1093 |
1 |
Prime factors of 5465 are 5,1093. Prime factorization of 5465 in exponential form is:
5465 = 51×10931
Prime Factorization of 5469
3 | 5469 |
1823 | 1823 |
1 |
Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:
5469 = 31×18231
Now multiplying the highest exponent prime factors to calculate the LCM of 5465 and 5469.
LCM(5465,5469) = 31×51×10931×18231
LCM(5465,5469) = 29888085
Factors of 5465
List of positive integer factors of 5465 that divides 5465 without a remainder.
1, 5, 1093, 5465
Factors of 5469
List of positive integer factors of 5469 that divides 5469 without a remainder.
1, 3, 1823, 5469
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5465 and 5469, than apply into the LCM equation.
GCF(5465,5469) = 1
LCM(5465,5469) = ( 5465 × 5469) / 1
LCM(5465,5469) = 29888085 / 1
LCM(5465,5469) = 29888085
(i) The LCM of 5469 and 5465 is associative
LCM of 5465 and 5469 = LCM of 5469 and 5465
1. What is the LCM of 5465 and 5469?
Answer: LCM of 5465 and 5469 is 29888085.
2. What are the Factors of 5465?
Answer: Factors of 5465 are 1, 5, 1093, 5465. There are 4 integers that are factors of 5465. The greatest factor of 5465 is 5465.
3. What are the Factors of 5469?
Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.
4. How to Find the LCM of 5465 and 5469?
Answer:
Least Common Multiple of 5465 and 5469 = 29888085
Step 1: Find the prime factorization of 5465
5465 = 5 x 1093
Step 2: Find the prime factorization of 5469
5469 = 3 x 1823
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29888085 = 3 x 5 x 1093 x 1823
Step 4: Therefore, the least common multiple of 5465 and 5469 is 29888085.