Least Common Multiple of 9962 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 9962 and 9968 the smallest integer that is 49650608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9962 and 9968 is 49650608.

LCM(9962,9968) = 49650608

LCM of 9962 and 9968

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

LCM of:
and

Least Common Multiple of 9962 and 9968

LCM of 9962 and 9968 is 49650608

Least common multiple can be found by multiplying the highest exponent prime factors of 9962 and 9968. First we will calculate the prime factors of 9962 and 9968.

Prime Factorization of 9962


2 9962
17 4981
293 293
1

Prime factors of 9962 are 2, 17,293. Prime factorization of 9962 in exponential form is:

9962 = 21×171×2931

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 9962 and 9968.

LCM(9962,9968) = 24×71×171×891×2931
LCM(9962,9968) = 49650608

Factors of 9962

List of positive integer factors of 9962 that divides 9962 without a remainder.

1, 2, 17, 34, 293, 586, 4981, 9962

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 9962 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 9962 and 9968, than apply into the LCM equation.

GCF(9962,9968) = 2
LCM(9962,9968) = ( 9962 × 9968) / 2
LCM(9962,9968) = 99301216 / 2
LCM(9962,9968) = 49650608

Properties of LCM 9962 and 9968

(i) The LCM of 9968 and 9962 is associative

LCM of 9962 and 9968 = LCM of 9968 and 9962

Related Least Common Multiples of 9962

Related Least Common Multiples of 9968

Frequently Asked Questions on LCM of 9962 and 9968

1. What is the LCM of 9962 and 9968?

Answer: LCM of 9962 and 9968 is 49650608.

2. What are the Factors of 9962?

Answer: Factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. There are 8 integers that are factors of 9962. The greatest factor of 9962 is 9962.

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 9962 and 9968?

Answer:

Least Common Multiple of 9962 and 9968 = 49650608

Step 1: Find the prime factorization of 9962

9962 = 2 x 17 x 293

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 = 49650608 = 2 x 2 x 2 x 2 x 7 x 17 x 89 x 293

Step 4: Therefore, the least common multiple of 9962 and 9968 is 49650608.