Least Common Multiple of 9685 and 9689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9685 and 9689 the smallest integer that is 93837965 that is divisible by both numbers.

Least Common Multiple (LCM) of 9685 and 9689 is 93837965.

LCM(9685,9689) = 93837965

LCM of 9685 and 9689

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

LCM of:
and

Least Common Multiple of 9685 and 9689

LCM of 9685 and 9689 is 93837965

Least common multiple can be found by multiplying the highest exponent prime factors of 9685 and 9689. First we will calculate the prime factors of 9685 and 9689.

Prime Factorization of 9685


5 9685
13 1937
149 149
1

Prime factors of 9685 are 5, 13,149. Prime factorization of 9685 in exponential form is:

9685 = 51×131×1491

Prime Factorization of 9689


9689 9689
1

Prime factors of 9689 are 9689. Prime factorization of 9689 in exponential form is:

9689 = 96891

Now multiplying the highest exponent prime factors to calculate the LCM of 9685 and 9689.

LCM(9685,9689) = 51×131×1491×96891
LCM(9685,9689) = 93837965

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1, 5, 13, 65, 149, 745, 1937, 9685

Factors of 9689

List of positive integer factors of 9689 that divides 9689 without a remainder.

1, 9689

Least Common Multiple of 9685 and 9689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9685 and 9689, than apply into the LCM equation.

GCF(9685,9689) = 1
LCM(9685,9689) = ( 9685 × 9689) / 1
LCM(9685,9689) = 93837965 / 1
LCM(9685,9689) = 93837965

Properties of LCM 9685 and 9689

(i) The LCM of 9689 and 9685 is associative

LCM of 9685 and 9689 = LCM of 9689 and 9685

Related Least Common Multiples of 9685

Related Least Common Multiples of 9689

Frequently Asked Questions on LCM of 9685 and 9689

1. What is the LCM of 9685 and 9689?

Answer: LCM of 9685 and 9689 is 93837965.

2. What are the Factors of 9685?

Answer: Factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685. There are 8 integers that are factors of 9685. The greatest factor of 9685 is 9685.

3. What are the Factors of 9689?

Answer: Factors of 9689 are 1, 9689. There are 2 integers that are factors of 9689. The greatest factor of 9689 is 9689.

4. How to Find the LCM of 9685 and 9689?

Answer:

Least Common Multiple of 9685 and 9689 = 93837965

Step 1: Find the prime factorization of 9685

9685 = 5 x 13 x 149

Step 2: Find the prime factorization of 9689

9689 = 9689

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 93837965 = 5 x 13 x 149 x 9689

Step 4: Therefore, the least common multiple of 9685 and 9689 is 93837965.