Least Common Multiple of 9957 and 9965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9957 and 9965 the smallest integer that is 99221505 that is divisible by both numbers.

Least Common Multiple (LCM) of 9957 and 9965 is 99221505.

LCM(9957,9965) = 99221505

LCM of 9957 and 9965

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

LCM of:
and

Least Common Multiple of 9957 and 9965

LCM of 9957 and 9965 is 99221505

Least common multiple can be found by multiplying the highest exponent prime factors of 9957 and 9965. First we will calculate the prime factors of 9957 and 9965.

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

Prime Factorization of 9965


5 9965
1993 1993
1

Prime factors of 9965 are 5,1993. Prime factorization of 9965 in exponential form is:

9965 = 51×19931

Now multiplying the highest exponent prime factors to calculate the LCM of 9957 and 9965.

LCM(9957,9965) = 31×51×19931×33191
LCM(9957,9965) = 99221505

Factors of 9957

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

1, 3, 3319, 9957

Factors of 9965

List of positive integer factors of 9965 that divides 9965 without a remainder.

1, 5, 1993, 9965

Least Common Multiple of 9957 and 9965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9957 and 9965, than apply into the LCM equation.

GCF(9957,9965) = 1
LCM(9957,9965) = ( 9957 × 9965) / 1
LCM(9957,9965) = 99221505 / 1
LCM(9957,9965) = 99221505

Properties of LCM 9957 and 9965

(i) The LCM of 9965 and 9957 is associative

LCM of 9957 and 9965 = LCM of 9965 and 9957

Related Least Common Multiples of 9957

Related Least Common Multiples of 9965

Frequently Asked Questions on LCM of 9957 and 9965

1. What is the LCM of 9957 and 9965?

Answer: LCM of 9957 and 9965 is 99221505.

2. 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.

3. What are the Factors of 9965?

Answer: Factors of 9965 are 1, 5, 1993, 9965. There are 4 integers that are factors of 9965. The greatest factor of 9965 is 9965.

4. How to Find the LCM of 9957 and 9965?

Answer:

Least Common Multiple of 9957 and 9965 = 99221505

Step 1: Find the prime factorization of 9957

9957 = 3 x 3319

Step 2: Find the prime factorization of 9965

9965 = 5 x 1993

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

LCM = 99221505 = 3 x 5 x 1993 x 3319

Step 4: Therefore, the least common multiple of 9957 and 9965 is 99221505.