Least Common Multiple of 4601 and 4606
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 4606 the smallest integer that is 21192206 that is divisible by both numbers.
Least Common Multiple (LCM) of 4601 and 4606 is 21192206.
LCM(4601,4606) = 21192206
LCM of 4601 and 4606
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4601 and 4606 by Prime method
- Least Common Multiple of 4601 and 4606 with GCF Formula
LCM of 4601 and 4606 is 21192206
Least common multiple can be found by multiplying the highest exponent prime factors of 4601 and 4606. First we will calculate the prime factors of 4601 and 4606.
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 4606
| 2 | 4606 |
| 7 | 2303 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 4606 are 2, 7,47. Prime factorization of 4606 in exponential form is:
4606 = 21×72×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4601 and 4606.
LCM(4601,4606) = 21×72×431×471×1071
LCM(4601,4606) = 21192206
Factors of 4601
List of positive integer factors of 4601 that divides 4601 without a remainder.
1, 43, 107, 4601
Factors of 4606
List of positive integer factors of 4606 that divides 4606 without a remainder.
1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
Least Common Multiple of 4601 and 4606 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 4606, than apply into the LCM equation.
GCF(4601,4606) = 1
LCM(4601,4606) = ( 4601 × 4606) / 1
LCM(4601,4606) = 21192206 / 1
LCM(4601,4606) = 21192206
Properties of LCM 4601 and 4606
(i) The LCM of 4606 and 4601 is associative
LCM of 4601 and 4606 = LCM of 4606 and 4601
Related Least Common Multiples of 4601
Related Least Common Multiples of 4606
Frequently Asked Questions on LCM of 4601 and 4606
1. What is the LCM of 4601 and 4606?
Answer: LCM of 4601 and 4606 is 21192206.
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 4606?
Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.
4. How to Find the LCM of 4601 and 4606?
Answer:
Least Common Multiple of 4601 and 4606 = 21192206
Step 1: Find the prime factorization of 4601
4601 = 43 x 107
Step 2: Find the prime factorization of 4606
4606 = 2 x 7 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21192206 = 2 x 7 x 7 x 43 x 47 x 107
Step 4: Therefore, the least common multiple of 4601 and 4606 is 21192206.