Least Common Multiple of 9649 and 9655

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 9655 the smallest integer that is 93161095 that is divisible by both numbers.

Least Common Multiple (LCM) of 9649 and 9655 is 93161095.

LCM(9649,9655) = 93161095

LCM of 9649 and 9655

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

LCM of:
and

Least Common Multiple of 9649 and 9655

LCM of 9649 and 9655 is 93161095

Least common multiple can be found by multiplying the highest exponent prime factors of 9649 and 9655. First we will calculate the prime factors of 9649 and 9655.

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 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

Now multiplying the highest exponent prime factors to calculate the LCM of 9649 and 9655.

LCM(9649,9655) = 51×19311×96491
LCM(9649,9655) = 93161095

Factors of 9649

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

1, 9649

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1, 5, 1931, 9655

Least Common Multiple of 9649 and 9655 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 9655, than apply into the LCM equation.

GCF(9649,9655) = 1
LCM(9649,9655) = ( 9649 × 9655) / 1
LCM(9649,9655) = 93161095 / 1
LCM(9649,9655) = 93161095

Properties of LCM 9649 and 9655

(i) The LCM of 9655 and 9649 is associative

LCM of 9649 and 9655 = LCM of 9655 and 9649

Related Least Common Multiples of 9649

Related Least Common Multiples of 9655

Frequently Asked Questions on LCM of 9649 and 9655

1. What is the LCM of 9649 and 9655?

Answer: LCM of 9649 and 9655 is 93161095.

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 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

4. How to Find the LCM of 9649 and 9655?

Answer:

Least Common Multiple of 9649 and 9655 = 93161095

Step 1: Find the prime factorization of 9649

9649 = 9649

Step 2: Find the prime factorization of 9655

9655 = 5 x 1931

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

LCM = 93161095 = 5 x 1931 x 9649

Step 4: Therefore, the least common multiple of 9649 and 9655 is 93161095.