Least Common Multiple of 9954 and 9962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9954 and 9962 the smallest integer that is 49580874 that is divisible by both numbers.

Least Common Multiple (LCM) of 9954 and 9962 is 49580874.

LCM(9954,9962) = 49580874

LCM of 9954 and 9962

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

LCM of:
and

Least Common Multiple of 9954 and 9962

LCM of 9954 and 9962 is 49580874

Least common multiple can be found by multiplying the highest exponent prime factors of 9954 and 9962. First we will calculate the prime factors of 9954 and 9962.

Prime Factorization of 9954


2 9954
3 4977
3 1659
7 553
79 79
1

Prime factors of 9954 are 2, 3, 7,79. Prime factorization of 9954 in exponential form is:

9954 = 21×32×71×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9962.

LCM(9954,9962) = 21×32×71×171×791×2931
LCM(9954,9962) = 49580874

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954

Factors of 9962

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

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

Least Common Multiple of 9954 and 9962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9954 and 9962, than apply into the LCM equation.

GCF(9954,9962) = 2
LCM(9954,9962) = ( 9954 × 9962) / 2
LCM(9954,9962) = 99161748 / 2
LCM(9954,9962) = 49580874

Properties of LCM 9954 and 9962

(i) The LCM of 9962 and 9954 is associative

LCM of 9954 and 9962 = LCM of 9962 and 9954

Related Least Common Multiples of 9954

Related Least Common Multiples of 9962

Frequently Asked Questions on LCM of 9954 and 9962

1. What is the LCM of 9954 and 9962?

Answer: LCM of 9954 and 9962 is 49580874.

2. What are the Factors of 9954?

Answer: Factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954. There are 24 integers that are factors of 9954. The greatest factor of 9954 is 9954.

3. 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.

4. How to Find the LCM of 9954 and 9962?

Answer:

Least Common Multiple of 9954 and 9962 = 49580874

Step 1: Find the prime factorization of 9954

9954 = 2 x 3 x 3 x 7 x 79

Step 2: Find the prime factorization of 9962

9962 = 2 x 17 x 293

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

LCM = 49580874 = 2 x 3 x 3 x 7 x 17 x 79 x 293

Step 4: Therefore, the least common multiple of 9954 and 9962 is 49580874.