Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5461 and 5465 the smallest integer that is 29844365 that is divisible by both numbers.
Least Common Multiple (LCM) of 5461 and 5465 is 29844365.
LCM(5461,5465) = 29844365
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 5461 and 5465. First we will calculate the prime factors of 5461 and 5465.
Prime Factorization of 5461
43 | 5461 |
127 | 127 |
1 |
Prime factors of 5461 are 43,127. Prime factorization of 5461 in exponential form is:
5461 = 431×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5461 and 5465.
LCM(5461,5465) = 51×431×1271×10931
LCM(5461,5465) = 29844365
Factors of 5461
List of positive integer factors of 5461 that divides 5461 without a remainder.
1, 43, 127, 5461
Factors of 5465
List of positive integer factors of 5465 that divides 5465 without a remainder.
1, 5, 1093, 5465
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5461 and 5465, than apply into the LCM equation.
GCF(5461,5465) = 1
LCM(5461,5465) = ( 5461 × 5465) / 1
LCM(5461,5465) = 29844365 / 1
LCM(5461,5465) = 29844365
(i) The LCM of 5465 and 5461 is associative
LCM of 5461 and 5465 = LCM of 5465 and 5461
1. What is the LCM of 5461 and 5465?
Answer: LCM of 5461 and 5465 is 29844365.
2. What are the Factors of 5461?
Answer: Factors of 5461 are 1, 43, 127, 5461. There are 4 integers that are factors of 5461. The greatest factor of 5461 is 5461.
3. 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.
4. How to Find the LCM of 5461 and 5465?
Answer:
Least Common Multiple of 5461 and 5465 = 29844365
Step 1: Find the prime factorization of 5461
5461 = 43 x 127
Step 2: Find the prime factorization of 5465
5465 = 5 x 1093
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29844365 = 5 x 43 x 127 x 1093
Step 4: Therefore, the least common multiple of 5461 and 5465 is 29844365.