Least Common Multiple of 4693 and 4701
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4693 and 4701 the smallest integer that is 22061793 that is divisible by both numbers.
Least Common Multiple (LCM) of 4693 and 4701 is 22061793.
LCM(4693,4701) = 22061793
LCM of 4693 and 4701
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4693 and 4701 by Prime method
- Least Common Multiple of 4693 and 4701 with GCF Formula
LCM of 4693 and 4701 is 22061793
Least common multiple can be found by multiplying the highest exponent prime factors of 4693 and 4701. First we will calculate the prime factors of 4693 and 4701.
Prime Factorization of 4693
| 13 | 4693 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 4693 are 13,19. Prime factorization of 4693 in exponential form is:
4693 = 131×192
Prime Factorization of 4701
| 3 | 4701 |
| 1567 | 1567 |
| 1 |
Prime factors of 4701 are 3,1567. Prime factorization of 4701 in exponential form is:
4701 = 31×15671
Now multiplying the highest exponent prime factors to calculate the LCM of 4693 and 4701.
LCM(4693,4701) = 31×131×192×15671
LCM(4693,4701) = 22061793
Factors of 4693
List of positive integer factors of 4693 that divides 4693 without a remainder.
1, 13, 19, 247, 361, 4693
Factors of 4701
List of positive integer factors of 4701 that divides 4701 without a remainder.
1, 3, 1567, 4701
Least Common Multiple of 4693 and 4701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4693 and 4701, than apply into the LCM equation.
GCF(4693,4701) = 1
LCM(4693,4701) = ( 4693 × 4701) / 1
LCM(4693,4701) = 22061793 / 1
LCM(4693,4701) = 22061793
Properties of LCM 4693 and 4701
(i) The LCM of 4701 and 4693 is associative
LCM of 4693 and 4701 = LCM of 4701 and 4693
Related Least Common Multiples of 4693
Related Least Common Multiples of 4701
Frequently Asked Questions on LCM of 4693 and 4701
1. What is the LCM of 4693 and 4701?
Answer: LCM of 4693 and 4701 is 22061793.
2. What are the Factors of 4693?
Answer: Factors of 4693 are 1, 13, 19, 247, 361, 4693. There are 6 integers that are factors of 4693. The greatest factor of 4693 is 4693.
3. What are the Factors of 4701?
Answer: Factors of 4701 are 1, 3, 1567, 4701. There are 4 integers that are factors of 4701. The greatest factor of 4701 is 4701.
4. How to Find the LCM of 4693 and 4701?
Answer:
Least Common Multiple of 4693 and 4701 = 22061793
Step 1: Find the prime factorization of 4693
4693 = 13 x 19 x 19
Step 2: Find the prime factorization of 4701
4701 = 3 x 1567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22061793 = 3 x 13 x 19 x 19 x 1567
Step 4: Therefore, the least common multiple of 4693 and 4701 is 22061793.