Least Common Multiple of 9957 and 9964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9957 and 9964 the smallest integer that is 99211548 that is divisible by both numbers.

Least Common Multiple (LCM) of 9957 and 9964 is 99211548.

LCM(9957,9964) = 99211548

LCM of 9957 and 9964

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

LCM of:
and

Least Common Multiple of 9957 and 9964

LCM of 9957 and 9964 is 99211548

Least common multiple can be found by multiplying the highest exponent prime factors of 9957 and 9964. First we will calculate the prime factors of 9957 and 9964.

Prime Factorization of 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

Prime Factorization of 9964


2 9964
2 4982
47 2491
53 53
1

Prime factors of 9964 are 2, 47,53. Prime factorization of 9964 in exponential form is:

9964 = 22×471×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9957 and 9964.

LCM(9957,9964) = 22×31×471×531×33191
LCM(9957,9964) = 99211548

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1, 3, 3319, 9957

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

Least Common Multiple of 9957 and 9964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9957 and 9964, than apply into the LCM equation.

GCF(9957,9964) = 1
LCM(9957,9964) = ( 9957 × 9964) / 1
LCM(9957,9964) = 99211548 / 1
LCM(9957,9964) = 99211548

Properties of LCM 9957 and 9964

(i) The LCM of 9964 and 9957 is associative

LCM of 9957 and 9964 = LCM of 9964 and 9957

Related Least Common Multiples of 9957

Related Least Common Multiples of 9964

Frequently Asked Questions on LCM of 9957 and 9964

1. What is the LCM of 9957 and 9964?

Answer: LCM of 9957 and 9964 is 99211548.

2. What are the Factors of 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

3. What are the Factors of 9964?

Answer: Factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. There are 12 integers that are factors of 9964. The greatest factor of 9964 is 9964.

4. How to Find the LCM of 9957 and 9964?

Answer:

Least Common Multiple of 9957 and 9964 = 99211548

Step 1: Find the prime factorization of 9957

9957 = 3 x 3319

Step 2: Find the prime factorization of 9964

9964 = 2 x 2 x 47 x 53

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

LCM = 99211548 = 2 x 2 x 3 x 47 x 53 x 3319

Step 4: Therefore, the least common multiple of 9957 and 9964 is 99211548.