Least Common Multiple of 9942 and 9950

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 9950 the smallest integer that is 49461450 that is divisible by both numbers.

Least Common Multiple (LCM) of 9942 and 9950 is 49461450.

LCM(9942,9950) = 49461450

LCM of 9942 and 9950

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

LCM of:
and

Least Common Multiple of 9942 and 9950

LCM of 9942 and 9950 is 49461450

Least common multiple can be found by multiplying the highest exponent prime factors of 9942 and 9950. First we will calculate the prime factors of 9942 and 9950.

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 9950


2 9950
5 4975
5 995
199 199
1

Prime factors of 9950 are 2, 5,199. Prime factorization of 9950 in exponential form is:

9950 = 21×52×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9942 and 9950.

LCM(9942,9950) = 21×31×52×1991×16571
LCM(9942,9950) = 49461450

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 9950

List of positive integer factors of 9950 that divides 9950 without a remainder.

1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950

Least Common Multiple of 9942 and 9950 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 9950, than apply into the LCM equation.

GCF(9942,9950) = 2
LCM(9942,9950) = ( 9942 × 9950) / 2
LCM(9942,9950) = 98922900 / 2
LCM(9942,9950) = 49461450

Properties of LCM 9942 and 9950

(i) The LCM of 9950 and 9942 is associative

LCM of 9942 and 9950 = LCM of 9950 and 9942

Related Least Common Multiples of 9942

Related Least Common Multiples of 9950

Frequently Asked Questions on LCM of 9942 and 9950

1. What is the LCM of 9942 and 9950?

Answer: LCM of 9942 and 9950 is 49461450.

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 9950?

Answer: Factors of 9950 are 1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950. There are 12 integers that are factors of 9950. The greatest factor of 9950 is 9950.

4. How to Find the LCM of 9942 and 9950?

Answer:

Least Common Multiple of 9942 and 9950 = 49461450

Step 1: Find the prime factorization of 9942

9942 = 2 x 3 x 1657

Step 2: Find the prime factorization of 9950

9950 = 2 x 5 x 5 x 199

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

LCM = 49461450 = 2 x 3 x 5 x 5 x 199 x 1657

Step 4: Therefore, the least common multiple of 9942 and 9950 is 49461450.