Least Common Multiple of 9649 and 9657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9649 and 9657 the smallest integer that is 93180393 that is divisible by both numbers.

Least Common Multiple (LCM) of 9649 and 9657 is 93180393.

LCM(9649,9657) = 93180393

LCM of 9649 and 9657

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

LCM of:
and

Least Common Multiple of 9649 and 9657

LCM of 9649 and 9657 is 93180393

Least common multiple can be found by multiplying the highest exponent prime factors of 9649 and 9657. First we will calculate the prime factors of 9649 and 9657.

Prime Factorization of 9649


9649 9649
1

Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:

9649 = 96491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9649 and 9657.

LCM(9649,9657) = 32×291×371×96491
LCM(9649,9657) = 93180393

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1, 9649

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

Least Common Multiple of 9649 and 9657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9649 and 9657, than apply into the LCM equation.

GCF(9649,9657) = 1
LCM(9649,9657) = ( 9649 × 9657) / 1
LCM(9649,9657) = 93180393 / 1
LCM(9649,9657) = 93180393

Properties of LCM 9649 and 9657

(i) The LCM of 9657 and 9649 is associative

LCM of 9649 and 9657 = LCM of 9657 and 9649

Related Least Common Multiples of 9649

Related Least Common Multiples of 9657

Frequently Asked Questions on LCM of 9649 and 9657

1. What is the LCM of 9649 and 9657?

Answer: LCM of 9649 and 9657 is 93180393.

2. What are the Factors of 9649?

Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.

3. 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.

4. How to Find the LCM of 9649 and 9657?

Answer:

Least Common Multiple of 9649 and 9657 = 93180393

Step 1: Find the prime factorization of 9649

9649 = 9649

Step 2: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

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

LCM = 93180393 = 3 x 3 x 29 x 37 x 9649

Step 4: Therefore, the least common multiple of 9649 and 9657 is 93180393.