Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5468 and 5476 the smallest integer that is 7485692 that is divisible by both numbers.
Least Common Multiple (LCM) of 5468 and 5476 is 7485692.
LCM(5468,5476) = 7485692
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 5468 and 5476. First we will calculate the prime factors of 5468 and 5476.
Prime Factorization of 5468
2 | 5468 |
2 | 2734 |
1367 | 1367 |
1 |
Prime factors of 5468 are 2,1367. Prime factorization of 5468 in exponential form is:
5468 = 22×13671
Prime Factorization of 5476
2 | 5476 |
2 | 2738 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:
5476 = 22×372
Now multiplying the highest exponent prime factors to calculate the LCM of 5468 and 5476.
LCM(5468,5476) = 22×372×13671
LCM(5468,5476) = 7485692
Factors of 5468
List of positive integer factors of 5468 that divides 5468 without a remainder.
1, 2, 4, 1367, 2734, 5468
Factors of 5476
List of positive integer factors of 5476 that divides 5476 without a remainder.
1, 2, 4, 37, 74, 148, 1369, 2738, 5476
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5468 and 5476, than apply into the LCM equation.
GCF(5468,5476) = 4
LCM(5468,5476) = ( 5468 × 5476) / 4
LCM(5468,5476) = 29942768 / 4
LCM(5468,5476) = 7485692
(i) The LCM of 5476 and 5468 is associative
LCM of 5468 and 5476 = LCM of 5476 and 5468
1. What is the LCM of 5468 and 5476?
Answer: LCM of 5468 and 5476 is 7485692.
2. What are the Factors of 5468?
Answer: Factors of 5468 are 1, 2, 4, 1367, 2734, 5468. There are 6 integers that are factors of 5468. The greatest factor of 5468 is 5468.
3. What are the Factors of 5476?
Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.
4. How to Find the LCM of 5468 and 5476?
Answer:
Least Common Multiple of 5468 and 5476 = 7485692
Step 1: Find the prime factorization of 5468
5468 = 2 x 2 x 1367
Step 2: Find the prime factorization of 5476
5476 = 2 x 2 x 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7485692 = 2 x 2 x 37 x 37 x 1367
Step 4: Therefore, the least common multiple of 5468 and 5476 is 7485692.