Least Common Multiple of 9650 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 9650 and 9655 the smallest integer that is 18634150 that is divisible by both numbers.

Least Common Multiple (LCM) of 9650 and 9655 is 18634150.

LCM(9650,9655) = 18634150

LCM of 9650 and 9655

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

LCM of:
and

Least Common Multiple of 9650 and 9655

LCM of 9650 and 9655 is 18634150

Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9655. First we will calculate the prime factors of 9650 and 9655.

Prime Factorization of 9650


2 9650
5 4825
5 965
193 193
1

Prime factors of 9650 are 2, 5,193. Prime factorization of 9650 in exponential form is:

9650 = 21×52×1931

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 9650 and 9655.

LCM(9650,9655) = 21×52×1931×19311
LCM(9650,9655) = 18634150

Factors of 9650

List of positive integer factors of 9650 that divides 9650 without a remainder.

1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650

Factors of 9655

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

1, 5, 1931, 9655

Least Common Multiple of 9650 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 9650 and 9655, than apply into the LCM equation.

GCF(9650,9655) = 5
LCM(9650,9655) = ( 9650 × 9655) / 5
LCM(9650,9655) = 93170750 / 5
LCM(9650,9655) = 18634150

Properties of LCM 9650 and 9655

(i) The LCM of 9655 and 9650 is associative

LCM of 9650 and 9655 = LCM of 9655 and 9650

Related Least Common Multiples of 9650

Related Least Common Multiples of 9655

Frequently Asked Questions on LCM of 9650 and 9655

1. What is the LCM of 9650 and 9655?

Answer: LCM of 9650 and 9655 is 18634150.

2. What are the Factors of 9650?

Answer: Factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650. There are 12 integers that are factors of 9650. The greatest factor of 9650 is 9650.

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 9650 and 9655?

Answer:

Least Common Multiple of 9650 and 9655 = 18634150

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

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 = 18634150 = 2 x 5 x 5 x 193 x 1931

Step 4: Therefore, the least common multiple of 9650 and 9655 is 18634150.