Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4588 and 4591 the smallest integer that is 21063508 that is divisible by both numbers.
Least Common Multiple (LCM) of 4588 and 4591 is 21063508.
LCM(4588,4591) = 21063508
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 4588 and 4591. First we will calculate the prime factors of 4588 and 4591.
Prime Factorization of 4588
2 | 4588 |
2 | 2294 |
31 | 1147 |
37 | 37 |
1 |
Prime factors of 4588 are 2, 31,37. Prime factorization of 4588 in exponential form is:
4588 = 22×311×371
Prime Factorization of 4591
4591 | 4591 |
1 |
Prime factors of 4591 are 4591. Prime factorization of 4591 in exponential form is:
4591 = 45911
Now multiplying the highest exponent prime factors to calculate the LCM of 4588 and 4591.
LCM(4588,4591) = 22×311×371×45911
LCM(4588,4591) = 21063508
Factors of 4588
List of positive integer factors of 4588 that divides 4588 without a remainder.
1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588
Factors of 4591
List of positive integer factors of 4591 that divides 4591 without a remainder.
1, 4591
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4588 and 4591, than apply into the LCM equation.
GCF(4588,4591) = 1
LCM(4588,4591) = ( 4588 × 4591) / 1
LCM(4588,4591) = 21063508 / 1
LCM(4588,4591) = 21063508
(i) The LCM of 4591 and 4588 is associative
LCM of 4588 and 4591 = LCM of 4591 and 4588
1. What is the LCM of 4588 and 4591?
Answer: LCM of 4588 and 4591 is 21063508.
2. What are the Factors of 4588?
Answer: Factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588. There are 12 integers that are factors of 4588. The greatest factor of 4588 is 4588.
3. What are the Factors of 4591?
Answer: Factors of 4591 are 1, 4591. There are 2 integers that are factors of 4591. The greatest factor of 4591 is 4591.
4. How to Find the LCM of 4588 and 4591?
Answer:
Least Common Multiple of 4588 and 4591 = 21063508
Step 1: Find the prime factorization of 4588
4588 = 2 x 2 x 31 x 37
Step 2: Find the prime factorization of 4591
4591 = 4591
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21063508 = 2 x 2 x 31 x 37 x 4591
Step 4: Therefore, the least common multiple of 4588 and 4591 is 21063508.