Least Common Multiple of 9926 and 9932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9926 and 9932 the smallest integer that is 49292516 that is divisible by both numbers.

Least Common Multiple (LCM) of 9926 and 9932 is 49292516.

LCM(9926,9932) = 49292516

LCM of 9926 and 9932

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

LCM of:
and

Least Common Multiple of 9926 and 9932

LCM of 9926 and 9932 is 49292516

Least common multiple can be found by multiplying the highest exponent prime factors of 9926 and 9932. First we will calculate the prime factors of 9926 and 9932.

Prime Factorization of 9926


2 9926
7 4963
709 709
1

Prime factors of 9926 are 2, 7,709. Prime factorization of 9926 in exponential form is:

9926 = 21×71×7091

Prime Factorization of 9932


2 9932
2 4966
13 2483
191 191
1

Prime factors of 9932 are 2, 13,191. Prime factorization of 9932 in exponential form is:

9932 = 22×131×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 9926 and 9932.

LCM(9926,9932) = 22×71×131×1911×7091
LCM(9926,9932) = 49292516

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1, 2, 7, 14, 709, 1418, 4963, 9926

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932

Least Common Multiple of 9926 and 9932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9926 and 9932, than apply into the LCM equation.

GCF(9926,9932) = 2
LCM(9926,9932) = ( 9926 × 9932) / 2
LCM(9926,9932) = 98585032 / 2
LCM(9926,9932) = 49292516

Properties of LCM 9926 and 9932

(i) The LCM of 9932 and 9926 is associative

LCM of 9926 and 9932 = LCM of 9932 and 9926

Related Least Common Multiples of 9926

Related Least Common Multiples of 9932

Frequently Asked Questions on LCM of 9926 and 9932

1. What is the LCM of 9926 and 9932?

Answer: LCM of 9926 and 9932 is 49292516.

2. What are the Factors of 9926?

Answer: Factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926. There are 8 integers that are factors of 9926. The greatest factor of 9926 is 9926.

3. What are the Factors of 9932?

Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.

4. How to Find the LCM of 9926 and 9932?

Answer:

Least Common Multiple of 9926 and 9932 = 49292516

Step 1: Find the prime factorization of 9926

9926 = 2 x 7 x 709

Step 2: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

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

LCM = 49292516 = 2 x 2 x 7 x 13 x 191 x 709

Step 4: Therefore, the least common multiple of 9926 and 9932 is 49292516.