Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5431 and 5435 the smallest integer that is 29517485 that is divisible by both numbers.
Least Common Multiple (LCM) of 5431 and 5435 is 29517485.
LCM(5431,5435) = 29517485
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 5431 and 5435. First we will calculate the prime factors of 5431 and 5435.
Prime Factorization of 5431
5431 | 5431 |
1 |
Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:
5431 = 54311
Prime Factorization of 5435
5 | 5435 |
1087 | 1087 |
1 |
Prime factors of 5435 are 5,1087. Prime factorization of 5435 in exponential form is:
5435 = 51×10871
Now multiplying the highest exponent prime factors to calculate the LCM of 5431 and 5435.
LCM(5431,5435) = 51×10871×54311
LCM(5431,5435) = 29517485
Factors of 5431
List of positive integer factors of 5431 that divides 5431 without a remainder.
1, 5431
Factors of 5435
List of positive integer factors of 5435 that divides 5435 without a remainder.
1, 5, 1087, 5435
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5431 and 5435, than apply into the LCM equation.
GCF(5431,5435) = 1
LCM(5431,5435) = ( 5431 × 5435) / 1
LCM(5431,5435) = 29517485 / 1
LCM(5431,5435) = 29517485
(i) The LCM of 5435 and 5431 is associative
LCM of 5431 and 5435 = LCM of 5435 and 5431
1. What is the LCM of 5431 and 5435?
Answer: LCM of 5431 and 5435 is 29517485.
2. What are the Factors of 5431?
Answer: Factors of 5431 are 1, 5431. There are 2 integers that are factors of 5431. The greatest factor of 5431 is 5431.
3. What are the Factors of 5435?
Answer: Factors of 5435 are 1, 5, 1087, 5435. There are 4 integers that are factors of 5435. The greatest factor of 5435 is 5435.
4. How to Find the LCM of 5431 and 5435?
Answer:
Least Common Multiple of 5431 and 5435 = 29517485
Step 1: Find the prime factorization of 5431
5431 = 5431
Step 2: Find the prime factorization of 5435
5435 = 5 x 1087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29517485 = 5 x 1087 x 5431
Step 4: Therefore, the least common multiple of 5431 and 5435 is 29517485.