Least Common Multiple of 4599 and 4601
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4599 and 4601 the smallest integer that is 21159999 that is divisible by both numbers.
Least Common Multiple (LCM) of 4599 and 4601 is 21159999.
LCM(4599,4601) = 21159999
LCM of 4599 and 4601
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4599 and 4601 by Prime method
- Least Common Multiple of 4599 and 4601 with GCF Formula
LCM of 4599 and 4601 is 21159999
Least common multiple can be found by multiplying the highest exponent prime factors of 4599 and 4601. First we will calculate the prime factors of 4599 and 4601.
Prime Factorization of 4599
| 3 | 4599 |
| 3 | 1533 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 4599 are 3, 7,73. Prime factorization of 4599 in exponential form is:
4599 = 32×71×731
Prime Factorization of 4601
| 43 | 4601 |
| 107 | 107 |
| 1 |
Prime factors of 4601 are 43,107. Prime factorization of 4601 in exponential form is:
4601 = 431×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4599 and 4601.
LCM(4599,4601) = 32×71×431×731×1071
LCM(4599,4601) = 21159999
Factors of 4599
List of positive integer factors of 4599 that divides 4599 without a remainder.
1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599
Factors of 4601
List of positive integer factors of 4601 that divides 4601 without a remainder.
1, 43, 107, 4601
Least Common Multiple of 4599 and 4601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4599 and 4601, than apply into the LCM equation.
GCF(4599,4601) = 1
LCM(4599,4601) = ( 4599 × 4601) / 1
LCM(4599,4601) = 21159999 / 1
LCM(4599,4601) = 21159999
Properties of LCM 4599 and 4601
(i) The LCM of 4601 and 4599 is associative
LCM of 4599 and 4601 = LCM of 4601 and 4599
Related Least Common Multiples of 4599
Related Least Common Multiples of 4601
Frequently Asked Questions on LCM of 4599 and 4601
1. What is the LCM of 4599 and 4601?
Answer: LCM of 4599 and 4601 is 21159999.
2. What are the Factors of 4599?
Answer: Factors of 4599 are 1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599. There are 12 integers that are factors of 4599. The greatest factor of 4599 is 4599.
3. What are the Factors of 4601?
Answer: Factors of 4601 are 1, 43, 107, 4601. There are 4 integers that are factors of 4601. The greatest factor of 4601 is 4601.
4. How to Find the LCM of 4599 and 4601?
Answer:
Least Common Multiple of 4599 and 4601 = 21159999
Step 1: Find the prime factorization of 4599
4599 = 3 x 3 x 7 x 73
Step 2: Find the prime factorization of 4601
4601 = 43 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21159999 = 3 x 3 x 7 x 43 x 73 x 107
Step 4: Therefore, the least common multiple of 4599 and 4601 is 21159999.