Least Common Multiple of 4685 and 4692
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4685 and 4692 the smallest integer that is 21982020 that is divisible by both numbers.
Least Common Multiple (LCM) of 4685 and 4692 is 21982020.
LCM(4685,4692) = 21982020
LCM of 4685 and 4692
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4685 and 4692 by Prime method
- Least Common Multiple of 4685 and 4692 with GCF Formula
LCM of 4685 and 4692 is 21982020
Least common multiple can be found by multiplying the highest exponent prime factors of 4685 and 4692. First we will calculate the prime factors of 4685 and 4692.
Prime Factorization of 4685
| 5 | 4685 |
| 937 | 937 |
| 1 |
Prime factors of 4685 are 5,937. Prime factorization of 4685 in exponential form is:
4685 = 51×9371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4685 and 4692.
LCM(4685,4692) = 22×31×51×171×231×9371
LCM(4685,4692) = 21982020
Factors of 4685
List of positive integer factors of 4685 that divides 4685 without a remainder.
1, 5, 937, 4685
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
Least Common Multiple of 4685 and 4692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4685 and 4692, than apply into the LCM equation.
GCF(4685,4692) = 1
LCM(4685,4692) = ( 4685 × 4692) / 1
LCM(4685,4692) = 21982020 / 1
LCM(4685,4692) = 21982020
Properties of LCM 4685 and 4692
(i) The LCM of 4692 and 4685 is associative
LCM of 4685 and 4692 = LCM of 4692 and 4685
Related Least Common Multiples of 4685
Related Least Common Multiples of 4692
Frequently Asked Questions on LCM of 4685 and 4692
1. What is the LCM of 4685 and 4692?
Answer: LCM of 4685 and 4692 is 21982020.
2. What are the Factors of 4685?
Answer: Factors of 4685 are 1, 5, 937, 4685. There are 4 integers that are factors of 4685. The greatest factor of 4685 is 4685.
3. 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.
4. How to Find the LCM of 4685 and 4692?
Answer:
Least Common Multiple of 4685 and 4692 = 21982020
Step 1: Find the prime factorization of 4685
4685 = 5 x 937
Step 2: Find the prime factorization of 4692
4692 = 2 x 2 x 3 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21982020 = 2 x 2 x 3 x 5 x 17 x 23 x 937
Step 4: Therefore, the least common multiple of 4685 and 4692 is 21982020.