Least Common Multiple of 9964 and 9968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9964 and 9968 the smallest integer that is 24830288 that is divisible by both numbers.

Least Common Multiple (LCM) of 9964 and 9968 is 24830288.

LCM(9964,9968) = 24830288

LCM of 9964 and 9968

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

LCM of:
and

Least Common Multiple of 9964 and 9968

LCM of 9964 and 9968 is 24830288

Least common multiple can be found by multiplying the highest exponent prime factors of 9964 and 9968. First we will calculate the prime factors of 9964 and 9968.

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

Prime Factorization of 9968


2 9968
2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 9968 are 2, 7,89. Prime factorization of 9968 in exponential form is:

9968 = 24×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9964 and 9968.

LCM(9964,9968) = 24×71×471×531×891
LCM(9964,9968) = 24830288

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

Factors of 9968

List of positive integer factors of 9968 that divides 9968 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968

Least Common Multiple of 9964 and 9968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9964 and 9968, than apply into the LCM equation.

GCF(9964,9968) = 4
LCM(9964,9968) = ( 9964 × 9968) / 4
LCM(9964,9968) = 99321152 / 4
LCM(9964,9968) = 24830288

Properties of LCM 9964 and 9968

(i) The LCM of 9968 and 9964 is associative

LCM of 9964 and 9968 = LCM of 9968 and 9964

Related Least Common Multiples of 9964

Related Least Common Multiples of 9968

Frequently Asked Questions on LCM of 9964 and 9968

1. What is the LCM of 9964 and 9968?

Answer: LCM of 9964 and 9968 is 24830288.

2. 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.

3. What are the Factors of 9968?

Answer: Factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. There are 20 integers that are factors of 9968. The greatest factor of 9968 is 9968.

4. How to Find the LCM of 9964 and 9968?

Answer:

Least Common Multiple of 9964 and 9968 = 24830288

Step 1: Find the prime factorization of 9964

9964 = 2 x 2 x 47 x 53

Step 2: Find the prime factorization of 9968

9968 = 2 x 2 x 2 x 2 x 7 x 89

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

LCM = 24830288 = 2 x 2 x 2 x 2 x 7 x 47 x 53 x 89

Step 4: Therefore, the least common multiple of 9964 and 9968 is 24830288.