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 4690 the smallest integer that is 4394530 that is divisible by both numbers.
Least Common Multiple (LCM) of 4685 and 4690 is 4394530.
LCM(4685,4690) = 4394530
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4685 and 4690. First we will calculate the prime factors of 4685 and 4690.
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 4690
2 | 4690 |
5 | 2345 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 4690 are 2, 5, 7,67. Prime factorization of 4690 in exponential form is:
4690 = 21×51×71×671
Now multiplying the highest exponent prime factors to calculate the LCM of 4685 and 4690.
LCM(4685,4690) = 21×51×71×671×9371
LCM(4685,4690) = 4394530
Factors of 4685
List of positive integer factors of 4685 that divides 4685 without a remainder.
1, 5, 937, 4685
Factors of 4690
List of positive integer factors of 4690 that divides 4690 without a remainder.
1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4685 and 4690, than apply into the LCM equation.
GCF(4685,4690) = 5
LCM(4685,4690) = ( 4685 × 4690) / 5
LCM(4685,4690) = 21972650 / 5
LCM(4685,4690) = 4394530
(i) The LCM of 4690 and 4685 is associative
LCM of 4685 and 4690 = LCM of 4690 and 4685
1. What is the LCM of 4685 and 4690?
Answer: LCM of 4685 and 4690 is 4394530.
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 4690?
Answer: Factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690. There are 16 integers that are factors of 4690. The greatest factor of 4690 is 4690.
4. How to Find the LCM of 4685 and 4690?
Answer:
Least Common Multiple of 4685 and 4690 = 4394530
Step 1: Find the prime factorization of 4685
4685 = 5 x 937
Step 2: Find the prime factorization of 4690
4690 = 2 x 5 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4394530 = 2 x 5 x 7 x 67 x 937
Step 4: Therefore, the least common multiple of 4685 and 4690 is 4394530.