Least Common Multiple of 4692 and 4693
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4692 and 4693 the smallest integer that is 22019556 that is divisible by both numbers.
Least Common Multiple (LCM) of 4692 and 4693 is 22019556.
LCM(4692,4693) = 22019556
LCM of 4692 and 4693
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4692 and 4693 by Prime method
- Least Common Multiple of 4692 and 4693 with GCF Formula
LCM of 4692 and 4693 is 22019556
Least common multiple can be found by multiplying the highest exponent prime factors of 4692 and 4693. First we will calculate the prime factors of 4692 and 4693.
Prime Factorization of 4692
| 2 | 4692 |
| 2 | 2346 |
| 3 | 1173 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 4692 are 2, 3, 17,23. Prime factorization of 4692 in exponential form is:
4692 = 22×31×171×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4692 and 4693.
LCM(4692,4693) = 22×31×131×171×192×231
LCM(4692,4693) = 22019556
Factors of 4692
List of positive integer factors of 4692 that divides 4692 without a remainder.
1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
Factors of 4693
List of positive integer factors of 4693 that divides 4693 without a remainder.
1, 13, 19, 247, 361, 4693
Least Common Multiple of 4692 and 4693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4692 and 4693, than apply into the LCM equation.
GCF(4692,4693) = 1
LCM(4692,4693) = ( 4692 × 4693) / 1
LCM(4692,4693) = 22019556 / 1
LCM(4692,4693) = 22019556
Properties of LCM 4692 and 4693
(i) The LCM of 4693 and 4692 is associative
LCM of 4692 and 4693 = LCM of 4693 and 4692
Related Least Common Multiples of 4692
Related Least Common Multiples of 4693
Frequently Asked Questions on LCM of 4692 and 4693
1. What is the LCM of 4692 and 4693?
Answer: LCM of 4692 and 4693 is 22019556.
2. What are the Factors of 4692?
Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.
3. 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.
4. How to Find the LCM of 4692 and 4693?
Answer:
Least Common Multiple of 4692 and 4693 = 22019556
Step 1: Find the prime factorization of 4692
4692 = 2 x 2 x 3 x 17 x 23
Step 2: Find the prime factorization of 4693
4693 = 13 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22019556 = 2 x 2 x 3 x 13 x 17 x 19 x 19 x 23
Step 4: Therefore, the least common multiple of 4692 and 4693 is 22019556.