Least Common Multiple of 9650 and 9656

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 9656 the smallest integer that is 46590200 that is divisible by both numbers.

Least Common Multiple (LCM) of 9650 and 9656 is 46590200.

LCM(9650,9656) = 46590200

LCM of 9650 and 9656

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

LCM of:
and

Least Common Multiple of 9650 and 9656

LCM of 9650 and 9656 is 46590200

Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9656. First we will calculate the prime factors of 9650 and 9656.

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 9656


2 9656
2 4828
2 2414
17 1207
71 71
1

Prime factors of 9656 are 2, 17,71. Prime factorization of 9656 in exponential form is:

9656 = 23×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9650 and 9656.

LCM(9650,9656) = 23×52×171×711×1931
LCM(9650,9656) = 46590200

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 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656

Least Common Multiple of 9650 and 9656 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 9656, than apply into the LCM equation.

GCF(9650,9656) = 2
LCM(9650,9656) = ( 9650 × 9656) / 2
LCM(9650,9656) = 93180400 / 2
LCM(9650,9656) = 46590200

Properties of LCM 9650 and 9656

(i) The LCM of 9656 and 9650 is associative

LCM of 9650 and 9656 = LCM of 9656 and 9650

Related Least Common Multiples of 9650

Related Least Common Multiples of 9656

Frequently Asked Questions on LCM of 9650 and 9656

1. What is the LCM of 9650 and 9656?

Answer: LCM of 9650 and 9656 is 46590200.

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 9656?

Answer: Factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656. There are 16 integers that are factors of 9656. The greatest factor of 9656 is 9656.

4. How to Find the LCM of 9650 and 9656?

Answer:

Least Common Multiple of 9650 and 9656 = 46590200

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

Step 2: Find the prime factorization of 9656

9656 = 2 x 2 x 2 x 17 x 71

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

LCM = 46590200 = 2 x 2 x 2 x 5 x 5 x 17 x 71 x 193

Step 4: Therefore, the least common multiple of 9650 and 9656 is 46590200.