Least Common Multiple of 4685 and 4690

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

LCM of 4685 and 4690

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4685 and 4690

LCM of 4685 and 4690 is 4394530

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

Least Common Multiple of 4685 and 4690 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 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

Properties of LCM 4685 and 4690

(i) The LCM of 4690 and 4685 is associative

LCM of 4685 and 4690 = LCM of 4690 and 4685

Frequently Asked Questions on LCM of 4685 and 4690

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.