Least Common Multiple of 9951 and 9958

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 9958 the smallest integer that is 99092058 that is divisible by both numbers.

Least Common Multiple (LCM) of 9951 and 9958 is 99092058.

LCM(9951,9958) = 99092058

LCM of 9951 and 9958

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

LCM of:
and

Least Common Multiple of 9951 and 9958

LCM of 9951 and 9958 is 99092058

Least common multiple can be found by multiplying the highest exponent prime factors of 9951 and 9958. First we will calculate the prime factors of 9951 and 9958.

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 9958


2 9958
13 4979
383 383
1

Prime factors of 9958 are 2, 13,383. Prime factorization of 9958 in exponential form is:

9958 = 21×131×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 9951 and 9958.

LCM(9951,9958) = 21×31×131×311×1071×3831
LCM(9951,9958) = 99092058

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 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1, 2, 13, 26, 383, 766, 4979, 9958

Least Common Multiple of 9951 and 9958 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 9958, than apply into the LCM equation.

GCF(9951,9958) = 1
LCM(9951,9958) = ( 9951 × 9958) / 1
LCM(9951,9958) = 99092058 / 1
LCM(9951,9958) = 99092058

Properties of LCM 9951 and 9958

(i) The LCM of 9958 and 9951 is associative

LCM of 9951 and 9958 = LCM of 9958 and 9951

Related Least Common Multiples of 9951

Related Least Common Multiples of 9958

Frequently Asked Questions on LCM of 9951 and 9958

1. What is the LCM of 9951 and 9958?

Answer: LCM of 9951 and 9958 is 99092058.

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 9958?

Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.

4. How to Find the LCM of 9951 and 9958?

Answer:

Least Common Multiple of 9951 and 9958 = 99092058

Step 1: Find the prime factorization of 9951

9951 = 3 x 31 x 107

Step 2: Find the prime factorization of 9958

9958 = 2 x 13 x 383

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

LCM = 99092058 = 2 x 3 x 13 x 31 x 107 x 383

Step 4: Therefore, the least common multiple of 9951 and 9958 is 99092058.