Least Common Multiple of 9948 and 9955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9948 and 9955 the smallest integer that is 99032340 that is divisible by both numbers.

Least Common Multiple (LCM) of 9948 and 9955 is 99032340.

LCM(9948,9955) = 99032340

LCM of 9948 and 9955

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

LCM of:
and

Least Common Multiple of 9948 and 9955

LCM of 9948 and 9955 is 99032340

Least common multiple can be found by multiplying the highest exponent prime factors of 9948 and 9955. First we will calculate the prime factors of 9948 and 9955.

Prime Factorization of 9948


2 9948
2 4974
3 2487
829 829
1

Prime factors of 9948 are 2, 3,829. Prime factorization of 9948 in exponential form is:

9948 = 22×31×8291

Prime Factorization of 9955


5 9955
11 1991
181 181
1

Prime factors of 9955 are 5, 11,181. Prime factorization of 9955 in exponential form is:

9955 = 51×111×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9948 and 9955.

LCM(9948,9955) = 22×31×51×111×1811×8291
LCM(9948,9955) = 99032340

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

Factors of 9955

List of positive integer factors of 9955 that divides 9955 without a remainder.

1, 5, 11, 55, 181, 905, 1991, 9955

Least Common Multiple of 9948 and 9955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9948 and 9955, than apply into the LCM equation.

GCF(9948,9955) = 1
LCM(9948,9955) = ( 9948 × 9955) / 1
LCM(9948,9955) = 99032340 / 1
LCM(9948,9955) = 99032340

Properties of LCM 9948 and 9955

(i) The LCM of 9955 and 9948 is associative

LCM of 9948 and 9955 = LCM of 9955 and 9948

Related Least Common Multiples of 9948

Related Least Common Multiples of 9955

Frequently Asked Questions on LCM of 9948 and 9955

1. What is the LCM of 9948 and 9955?

Answer: LCM of 9948 and 9955 is 99032340.

2. What are the Factors of 9948?

Answer: Factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948. There are 12 integers that are factors of 9948. The greatest factor of 9948 is 9948.

3. What are the Factors of 9955?

Answer: Factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955. There are 8 integers that are factors of 9955. The greatest factor of 9955 is 9955.

4. How to Find the LCM of 9948 and 9955?

Answer:

Least Common Multiple of 9948 and 9955 = 99032340

Step 1: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

Step 2: Find the prime factorization of 9955

9955 = 5 x 11 x 181

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

LCM = 99032340 = 2 x 2 x 3 x 5 x 11 x 181 x 829

Step 4: Therefore, the least common multiple of 9948 and 9955 is 99032340.