Least Common Multiple of 9657 and 9662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9657 and 9662 the smallest integer that is 93305934 that is divisible by both numbers.

Least Common Multiple (LCM) of 9657 and 9662 is 93305934.

LCM(9657,9662) = 93305934

LCM of 9657 and 9662

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

LCM of:
and

Least Common Multiple of 9657 and 9662

LCM of 9657 and 9662 is 93305934

Least common multiple can be found by multiplying the highest exponent prime factors of 9657 and 9662. First we will calculate the prime factors of 9657 and 9662.

Prime Factorization of 9657


3 9657
3 3219
29 1073
37 37
1

Prime factors of 9657 are 3, 29,37. Prime factorization of 9657 in exponential form is:

9657 = 32×291×371

Prime Factorization of 9662


2 9662
4831 4831
1

Prime factors of 9662 are 2,4831. Prime factorization of 9662 in exponential form is:

9662 = 21×48311

Now multiplying the highest exponent prime factors to calculate the LCM of 9657 and 9662.

LCM(9657,9662) = 21×32×291×371×48311
LCM(9657,9662) = 93305934

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657

Factors of 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1, 2, 4831, 9662

Least Common Multiple of 9657 and 9662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9657 and 9662, than apply into the LCM equation.

GCF(9657,9662) = 1
LCM(9657,9662) = ( 9657 × 9662) / 1
LCM(9657,9662) = 93305934 / 1
LCM(9657,9662) = 93305934

Properties of LCM 9657 and 9662

(i) The LCM of 9662 and 9657 is associative

LCM of 9657 and 9662 = LCM of 9662 and 9657

Related Least Common Multiples of 9657

Related Least Common Multiples of 9662

Frequently Asked Questions on LCM of 9657 and 9662

1. What is the LCM of 9657 and 9662?

Answer: LCM of 9657 and 9662 is 93305934.

2. What are the Factors of 9657?

Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.

3. What are the Factors of 9662?

Answer: Factors of 9662 are 1, 2, 4831, 9662. There are 4 integers that are factors of 9662. The greatest factor of 9662 is 9662.

4. How to Find the LCM of 9657 and 9662?

Answer:

Least Common Multiple of 9657 and 9662 = 93305934

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9662

9662 = 2 x 4831

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

LCM = 93305934 = 2 x 3 x 3 x 29 x 37 x 4831

Step 4: Therefore, the least common multiple of 9657 and 9662 is 93305934.