Least Common Multiple of 9951 and 9957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9951 and 9957 the smallest integer that is 33027369 that is divisible by both numbers.

Least Common Multiple (LCM) of 9951 and 9957 is 33027369.

LCM(9951,9957) = 33027369

LCM of 9951 and 9957

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

LCM of:
and

Least Common Multiple of 9951 and 9957

LCM of 9951 and 9957 is 33027369

Least common multiple can be found by multiplying the highest exponent prime factors of 9951 and 9957. First we will calculate the prime factors of 9951 and 9957.

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

Prime Factorization of 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

Now multiplying the highest exponent prime factors to calculate the LCM of 9951 and 9957.

LCM(9951,9957) = 31×311×1071×33191
LCM(9951,9957) = 33027369

Factors of 9951

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

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

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1, 3, 3319, 9957

Least Common Multiple of 9951 and 9957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9951 and 9957, than apply into the LCM equation.

GCF(9951,9957) = 3
LCM(9951,9957) = ( 9951 × 9957) / 3
LCM(9951,9957) = 99082107 / 3
LCM(9951,9957) = 33027369

Properties of LCM 9951 and 9957

(i) The LCM of 9957 and 9951 is associative

LCM of 9951 and 9957 = LCM of 9957 and 9951

Related Least Common Multiples of 9951

Related Least Common Multiples of 9957

Frequently Asked Questions on LCM of 9951 and 9957

1. What is the LCM of 9951 and 9957?

Answer: LCM of 9951 and 9957 is 33027369.

2. 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.

3. What are the Factors of 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

4. How to Find the LCM of 9951 and 9957?

Answer:

Least Common Multiple of 9951 and 9957 = 33027369

Step 1: Find the prime factorization of 9951

9951 = 3 x 31 x 107

Step 2: Find the prime factorization of 9957

9957 = 3 x 3319

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

LCM = 33027369 = 3 x 31 x 107 x 3319

Step 4: Therefore, the least common multiple of 9951 and 9957 is 33027369.