Least Common Multiple of 9950 and 9951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9950 and 9951 the smallest integer that is 99012450 that is divisible by both numbers.

Least Common Multiple (LCM) of 9950 and 9951 is 99012450.

LCM(9950,9951) = 99012450

LCM of 9950 and 9951

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

LCM of:
and

Least Common Multiple of 9950 and 9951

LCM of 9950 and 9951 is 99012450

Least common multiple can be found by multiplying the highest exponent prime factors of 9950 and 9951. First we will calculate the prime factors of 9950 and 9951.

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

Prime Factorization of 9951


3 9951
31 3317
107 107
1

Prime factors of 9951 are 3, 31,107. Prime factorization of 9951 in exponential form is:

9951 = 31×311×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9950 and 9951.

LCM(9950,9951) = 21×31×52×311×1071×1991
LCM(9950,9951) = 99012450

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

Factors of 9951

List of positive integer factors of 9951 that divides 9951 without a remainder.

1, 3, 31, 93, 107, 321, 3317, 9951

Least Common Multiple of 9950 and 9951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9950 and 9951, than apply into the LCM equation.

GCF(9950,9951) = 1
LCM(9950,9951) = ( 9950 × 9951) / 1
LCM(9950,9951) = 99012450 / 1
LCM(9950,9951) = 99012450

Properties of LCM 9950 and 9951

(i) The LCM of 9951 and 9950 is associative

LCM of 9950 and 9951 = LCM of 9951 and 9950

Related Least Common Multiples of 9950

Related Least Common Multiples of 9951

Frequently Asked Questions on LCM of 9950 and 9951

1. What is the LCM of 9950 and 9951?

Answer: LCM of 9950 and 9951 is 99012450.

2. 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.

3. What are the Factors of 9951?

Answer: Factors of 9951 are 1, 3, 31, 93, 107, 321, 3317, 9951. There are 8 integers that are factors of 9951. The greatest factor of 9951 is 9951.

4. How to Find the LCM of 9950 and 9951?

Answer:

Least Common Multiple of 9950 and 9951 = 99012450

Step 1: Find the prime factorization of 9950

9950 = 2 x 5 x 5 x 199

Step 2: Find the prime factorization of 9951

9951 = 3 x 31 x 107

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

LCM = 99012450 = 2 x 3 x 5 x 5 x 31 x 107 x 199

Step 4: Therefore, the least common multiple of 9950 and 9951 is 99012450.