Least Common Multiple of 9950 and 9954

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 9954 the smallest integer that is 49521150 that is divisible by both numbers.

Least Common Multiple (LCM) of 9950 and 9954 is 49521150.

LCM(9950,9954) = 49521150

LCM of 9950 and 9954

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

LCM of:
and

Least Common Multiple of 9950 and 9954

LCM of 9950 and 9954 is 49521150

Least common multiple can be found by multiplying the highest exponent prime factors of 9950 and 9954. First we will calculate the prime factors of 9950 and 9954.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9950 and 9954.

LCM(9950,9954) = 21×32×52×71×791×1991
LCM(9950,9954) = 49521150

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 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

Least Common Multiple of 9950 and 9954 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 9954, than apply into the LCM equation.

GCF(9950,9954) = 2
LCM(9950,9954) = ( 9950 × 9954) / 2
LCM(9950,9954) = 99042300 / 2
LCM(9950,9954) = 49521150

Properties of LCM 9950 and 9954

(i) The LCM of 9954 and 9950 is associative

LCM of 9950 and 9954 = LCM of 9954 and 9950

Related Least Common Multiples of 9950

Related Least Common Multiples of 9954

Frequently Asked Questions on LCM of 9950 and 9954

1. What is the LCM of 9950 and 9954?

Answer: LCM of 9950 and 9954 is 49521150.

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 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.

4. How to Find the LCM of 9950 and 9954?

Answer:

Least Common Multiple of 9950 and 9954 = 49521150

Step 1: Find the prime factorization of 9950

9950 = 2 x 5 x 5 x 199

Step 2: Find the prime factorization of 9954

9954 = 2 x 3 x 3 x 7 x 79

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

LCM = 49521150 = 2 x 3 x 3 x 5 x 5 x 7 x 79 x 199

Step 4: Therefore, the least common multiple of 9950 and 9954 is 49521150.