Least Common Multiple of 9952 and 9959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9952 and 9959 the smallest integer that is 99111968 that is divisible by both numbers.

Least Common Multiple (LCM) of 9952 and 9959 is 99111968.

LCM(9952,9959) = 99111968

LCM of 9952 and 9959

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

LCM of:
and

Least Common Multiple of 9952 and 9959

LCM of 9952 and 9959 is 99111968

Least common multiple can be found by multiplying the highest exponent prime factors of 9952 and 9959. First we will calculate the prime factors of 9952 and 9959.

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

Prime Factorization of 9959


23 9959
433 433
1

Prime factors of 9959 are 23,433. Prime factorization of 9959 in exponential form is:

9959 = 231×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 9952 and 9959.

LCM(9952,9959) = 25×231×3111×4331
LCM(9952,9959) = 99111968

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

Factors of 9959

List of positive integer factors of 9959 that divides 9959 without a remainder.

1, 23, 433, 9959

Least Common Multiple of 9952 and 9959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9952 and 9959, than apply into the LCM equation.

GCF(9952,9959) = 1
LCM(9952,9959) = ( 9952 × 9959) / 1
LCM(9952,9959) = 99111968 / 1
LCM(9952,9959) = 99111968

Properties of LCM 9952 and 9959

(i) The LCM of 9959 and 9952 is associative

LCM of 9952 and 9959 = LCM of 9959 and 9952

Related Least Common Multiples of 9952

Related Least Common Multiples of 9959

Frequently Asked Questions on LCM of 9952 and 9959

1. What is the LCM of 9952 and 9959?

Answer: LCM of 9952 and 9959 is 99111968.

2. 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.

3. What are the Factors of 9959?

Answer: Factors of 9959 are 1, 23, 433, 9959. There are 4 integers that are factors of 9959. The greatest factor of 9959 is 9959.

4. How to Find the LCM of 9952 and 9959?

Answer:

Least Common Multiple of 9952 and 9959 = 99111968

Step 1: Find the prime factorization of 9952

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

Step 2: Find the prime factorization of 9959

9959 = 23 x 433

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

LCM = 99111968 = 2 x 2 x 2 x 2 x 2 x 23 x 311 x 433

Step 4: Therefore, the least common multiple of 9952 and 9959 is 99111968.