Least Common Multiple of 9942 and 9948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9942 and 9948 the smallest integer that is 16483836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9942 and 9948 is 16483836.

LCM(9942,9948) = 16483836

LCM of 9942 and 9948

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

LCM of:
and

Least Common Multiple of 9942 and 9948

LCM of 9942 and 9948 is 16483836

Least common multiple can be found by multiplying the highest exponent prime factors of 9942 and 9948. First we will calculate the prime factors of 9942 and 9948.

Prime Factorization of 9942


2 9942
3 4971
1657 1657
1

Prime factors of 9942 are 2, 3,1657. Prime factorization of 9942 in exponential form is:

9942 = 21×31×16571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9942 and 9948.

LCM(9942,9948) = 22×31×8291×16571
LCM(9942,9948) = 16483836

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1, 2, 3, 6, 1657, 3314, 4971, 9942

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

Least Common Multiple of 9942 and 9948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9942 and 9948, than apply into the LCM equation.

GCF(9942,9948) = 6
LCM(9942,9948) = ( 9942 × 9948) / 6
LCM(9942,9948) = 98903016 / 6
LCM(9942,9948) = 16483836

Properties of LCM 9942 and 9948

(i) The LCM of 9948 and 9942 is associative

LCM of 9942 and 9948 = LCM of 9948 and 9942

Related Least Common Multiples of 9942

Related Least Common Multiples of 9948

Frequently Asked Questions on LCM of 9942 and 9948

1. What is the LCM of 9942 and 9948?

Answer: LCM of 9942 and 9948 is 16483836.

2. What are the Factors of 9942?

Answer: Factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942. There are 8 integers that are factors of 9942. The greatest factor of 9942 is 9942.

3. 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.

4. How to Find the LCM of 9942 and 9948?

Answer:

Least Common Multiple of 9942 and 9948 = 16483836

Step 1: Find the prime factorization of 9942

9942 = 2 x 3 x 1657

Step 2: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

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

LCM = 16483836 = 2 x 2 x 3 x 829 x 1657

Step 4: Therefore, the least common multiple of 9942 and 9948 is 16483836.