Least Common Multiple of 9692 and 9698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9692 and 9698 the smallest integer that is 46996508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9692 and 9698 is 46996508.

LCM(9692,9698) = 46996508

LCM of 9692 and 9698

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

LCM of:
and

Least Common Multiple of 9692 and 9698

LCM of 9692 and 9698 is 46996508

Least common multiple can be found by multiplying the highest exponent prime factors of 9692 and 9698. First we will calculate the prime factors of 9692 and 9698.

Prime Factorization of 9692


2 9692
2 4846
2423 2423
1

Prime factors of 9692 are 2,2423. Prime factorization of 9692 in exponential form is:

9692 = 22×24231

Prime Factorization of 9698


2 9698
13 4849
373 373
1

Prime factors of 9698 are 2, 13,373. Prime factorization of 9698 in exponential form is:

9698 = 21×131×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 9692 and 9698.

LCM(9692,9698) = 22×131×3731×24231
LCM(9692,9698) = 46996508

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1, 2, 4, 2423, 4846, 9692

Factors of 9698

List of positive integer factors of 9698 that divides 9698 without a remainder.

1, 2, 13, 26, 373, 746, 4849, 9698

Least Common Multiple of 9692 and 9698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9692 and 9698, than apply into the LCM equation.

GCF(9692,9698) = 2
LCM(9692,9698) = ( 9692 × 9698) / 2
LCM(9692,9698) = 93993016 / 2
LCM(9692,9698) = 46996508

Properties of LCM 9692 and 9698

(i) The LCM of 9698 and 9692 is associative

LCM of 9692 and 9698 = LCM of 9698 and 9692

Related Least Common Multiples of 9692

Related Least Common Multiples of 9698

Frequently Asked Questions on LCM of 9692 and 9698

1. What is the LCM of 9692 and 9698?

Answer: LCM of 9692 and 9698 is 46996508.

2. What are the Factors of 9692?

Answer: Factors of 9692 are 1, 2, 4, 2423, 4846, 9692. There are 6 integers that are factors of 9692. The greatest factor of 9692 is 9692.

3. What are the Factors of 9698?

Answer: Factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698. There are 8 integers that are factors of 9698. The greatest factor of 9698 is 9698.

4. How to Find the LCM of 9692 and 9698?

Answer:

Least Common Multiple of 9692 and 9698 = 46996508

Step 1: Find the prime factorization of 9692

9692 = 2 x 2 x 2423

Step 2: Find the prime factorization of 9698

9698 = 2 x 13 x 373

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

LCM = 46996508 = 2 x 2 x 13 x 373 x 2423

Step 4: Therefore, the least common multiple of 9692 and 9698 is 46996508.