Least Common Multiple of 9954 and 9958

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 9958 the smallest integer that is 49560966 that is divisible by both numbers.

Least Common Multiple (LCM) of 9954 and 9958 is 49560966.

LCM(9954,9958) = 49560966

LCM of 9954 and 9958

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

LCM of:
and

Least Common Multiple of 9954 and 9958

LCM of 9954 and 9958 is 49560966

Least common multiple can be found by multiplying the highest exponent prime factors of 9954 and 9958. First we will calculate the prime factors of 9954 and 9958.

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 9958


2 9958
13 4979
383 383
1

Prime factors of 9958 are 2, 13,383. Prime factorization of 9958 in exponential form is:

9958 = 21×131×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9958.

LCM(9954,9958) = 21×32×71×131×791×3831
LCM(9954,9958) = 49560966

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 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1, 2, 13, 26, 383, 766, 4979, 9958

Least Common Multiple of 9954 and 9958 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 9958, than apply into the LCM equation.

GCF(9954,9958) = 2
LCM(9954,9958) = ( 9954 × 9958) / 2
LCM(9954,9958) = 99121932 / 2
LCM(9954,9958) = 49560966

Properties of LCM 9954 and 9958

(i) The LCM of 9958 and 9954 is associative

LCM of 9954 and 9958 = LCM of 9958 and 9954

Related Least Common Multiples of 9954

Related Least Common Multiples of 9958

Frequently Asked Questions on LCM of 9954 and 9958

1. What is the LCM of 9954 and 9958?

Answer: LCM of 9954 and 9958 is 49560966.

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 9958?

Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.

4. How to Find the LCM of 9954 and 9958?

Answer:

Least Common Multiple of 9954 and 9958 = 49560966

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 9958

9958 = 2 x 13 x 383

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

LCM = 49560966 = 2 x 3 x 3 x 7 x 13 x 79 x 383

Step 4: Therefore, the least common multiple of 9954 and 9958 is 49560966.