Least Common Multiple of 4601 and 4607
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4601 and 4607 the smallest integer that is 21196807 that is divisible by both numbers.
Least Common Multiple (LCM) of 4601 and 4607 is 21196807.
LCM(4601,4607) = 21196807
LCM of 4601 and 4607
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4601 and 4607 by Prime method
- Least Common Multiple of 4601 and 4607 with GCF Formula
LCM of 4601 and 4607 is 21196807
Least common multiple can be found by multiplying the highest exponent prime factors of 4601 and 4607. First we will calculate the prime factors of 4601 and 4607.
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
Prime Factorization of 4607
| 17 | 4607 |
| 271 | 271 |
| 1 |
Prime factors of 4607 are 17,271. Prime factorization of 4607 in exponential form is:
4607 = 171×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 4601 and 4607.
LCM(4601,4607) = 171×431×1071×2711
LCM(4601,4607) = 21196807
Factors of 4601
List of positive integer factors of 4601 that divides 4601 without a remainder.
1, 43, 107, 4601
Factors of 4607
List of positive integer factors of 4607 that divides 4607 without a remainder.
1, 17, 271, 4607
Least Common Multiple of 4601 and 4607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4601 and 4607, than apply into the LCM equation.
GCF(4601,4607) = 1
LCM(4601,4607) = ( 4601 × 4607) / 1
LCM(4601,4607) = 21196807 / 1
LCM(4601,4607) = 21196807
Properties of LCM 4601 and 4607
(i) The LCM of 4607 and 4601 is associative
LCM of 4601 and 4607 = LCM of 4607 and 4601
Related Least Common Multiples of 4601
Related Least Common Multiples of 4607
Frequently Asked Questions on LCM of 4601 and 4607
1. What is the LCM of 4601 and 4607?
Answer: LCM of 4601 and 4607 is 21196807.
2. 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.
3. What are the Factors of 4607?
Answer: Factors of 4607 are 1, 17, 271, 4607. There are 4 integers that are factors of 4607. The greatest factor of 4607 is 4607.
4. How to Find the LCM of 4601 and 4607?
Answer:
Least Common Multiple of 4601 and 4607 = 21196807
Step 1: Find the prime factorization of 4601
4601 = 43 x 107
Step 2: Find the prime factorization of 4607
4607 = 17 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21196807 = 17 x 43 x 107 x 271
Step 4: Therefore, the least common multiple of 4601 and 4607 is 21196807.