Least Common Multiple of 9948 and 9952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9948 and 9952 the smallest integer that is 24750624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9948 and 9952 is 24750624.

LCM(9948,9952) = 24750624

LCM of 9948 and 9952

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

LCM of:
and

Least Common Multiple of 9948 and 9952

LCM of 9948 and 9952 is 24750624

Least common multiple can be found by multiplying the highest exponent prime factors of 9948 and 9952. First we will calculate the prime factors of 9948 and 9952.

Prime Factorization of 9948


2 9948
2 4974
3 2487
829 829
1

Prime factors of 9948 are 2, 3,829. Prime factorization of 9948 in exponential form is:

9948 = 22×31×8291

Prime Factorization of 9952


2 9952
2 4976
2 2488
2 1244
2 622
311 311
1

Prime factors of 9952 are 2,311. Prime factorization of 9952 in exponential form is:

9952 = 25×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9948 and 9952.

LCM(9948,9952) = 25×31×3111×8291
LCM(9948,9952) = 24750624

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

Factors of 9952

List of positive integer factors of 9952 that divides 9952 without a remainder.

1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952

Least Common Multiple of 9948 and 9952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9948 and 9952, than apply into the LCM equation.

GCF(9948,9952) = 4
LCM(9948,9952) = ( 9948 × 9952) / 4
LCM(9948,9952) = 99002496 / 4
LCM(9948,9952) = 24750624

Properties of LCM 9948 and 9952

(i) The LCM of 9952 and 9948 is associative

LCM of 9948 and 9952 = LCM of 9952 and 9948

Related Least Common Multiples of 9948

Related Least Common Multiples of 9952

Frequently Asked Questions on LCM of 9948 and 9952

1. What is the LCM of 9948 and 9952?

Answer: LCM of 9948 and 9952 is 24750624.

2. What are the Factors of 9948?

Answer: Factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948. There are 12 integers that are factors of 9948. The greatest factor of 9948 is 9948.

3. What are the Factors of 9952?

Answer: Factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952. There are 12 integers that are factors of 9952. The greatest factor of 9952 is 9952.

4. How to Find the LCM of 9948 and 9952?

Answer:

Least Common Multiple of 9948 and 9952 = 24750624

Step 1: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

Step 2: Find the prime factorization of 9952

9952 = 2 x 2 x 2 x 2 x 2 x 311

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

LCM = 24750624 = 2 x 2 x 2 x 2 x 2 x 3 x 311 x 829

Step 4: Therefore, the least common multiple of 9948 and 9952 is 24750624.