Least Common Multiple of 9961 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 9961 and 9968 the smallest integer that is 14184464 that is divisible by both numbers.

Least Common Multiple (LCM) of 9961 and 9968 is 14184464.

LCM(9961,9968) = 14184464

LCM of 9961 and 9968

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

LCM of:
and

Least Common Multiple of 9961 and 9968

LCM of 9961 and 9968 is 14184464

Least common multiple can be found by multiplying the highest exponent prime factors of 9961 and 9968. First we will calculate the prime factors of 9961 and 9968.

Prime Factorization of 9961


7 9961
1423 1423
1

Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:

9961 = 71×14231

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 9961 and 9968.

LCM(9961,9968) = 24×71×891×14231
LCM(9961,9968) = 14184464

Factors of 9961

List of positive integer factors of 9961 that divides 9961 without a remainder.

1, 7, 1423, 9961

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 9961 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 9961 and 9968, than apply into the LCM equation.

GCF(9961,9968) = 7
LCM(9961,9968) = ( 9961 × 9968) / 7
LCM(9961,9968) = 99291248 / 7
LCM(9961,9968) = 14184464

Properties of LCM 9961 and 9968

(i) The LCM of 9968 and 9961 is associative

LCM of 9961 and 9968 = LCM of 9968 and 9961

Related Least Common Multiples of 9961

Related Least Common Multiples of 9968

Frequently Asked Questions on LCM of 9961 and 9968

1. What is the LCM of 9961 and 9968?

Answer: LCM of 9961 and 9968 is 14184464.

2. What are the Factors of 9961?

Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.

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 9961 and 9968?

Answer:

Least Common Multiple of 9961 and 9968 = 14184464

Step 1: Find the prime factorization of 9961

9961 = 7 x 1423

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 = 14184464 = 2 x 2 x 2 x 2 x 7 x 89 x 1423

Step 4: Therefore, the least common multiple of 9961 and 9968 is 14184464.