Least Common Multiple of 9652 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 9652 and 9656 the smallest integer that is 23299928 that is divisible by both numbers.

Least Common Multiple (LCM) of 9652 and 9656 is 23299928.

LCM(9652,9656) = 23299928

LCM of 9652 and 9656

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

LCM of:
and

Least Common Multiple of 9652 and 9656

LCM of 9652 and 9656 is 23299928

Least common multiple can be found by multiplying the highest exponent prime factors of 9652 and 9656. First we will calculate the prime factors of 9652 and 9656.

Prime Factorization of 9652


2 9652
2 4826
19 2413
127 127
1

Prime factors of 9652 are 2, 19,127. Prime factorization of 9652 in exponential form is:

9652 = 22×191×1271

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 9652 and 9656.

LCM(9652,9656) = 23×171×191×711×1271
LCM(9652,9656) = 23299928

Factors of 9652

List of positive integer factors of 9652 that divides 9652 without a remainder.

1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652

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 9652 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 9652 and 9656, than apply into the LCM equation.

GCF(9652,9656) = 4
LCM(9652,9656) = ( 9652 × 9656) / 4
LCM(9652,9656) = 93199712 / 4
LCM(9652,9656) = 23299928

Properties of LCM 9652 and 9656

(i) The LCM of 9656 and 9652 is associative

LCM of 9652 and 9656 = LCM of 9656 and 9652

Related Least Common Multiples of 9652

Related Least Common Multiples of 9656

Frequently Asked Questions on LCM of 9652 and 9656

1. What is the LCM of 9652 and 9656?

Answer: LCM of 9652 and 9656 is 23299928.

2. What are the Factors of 9652?

Answer: Factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652. There are 12 integers that are factors of 9652. The greatest factor of 9652 is 9652.

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 9652 and 9656?

Answer:

Least Common Multiple of 9652 and 9656 = 23299928

Step 1: Find the prime factorization of 9652

9652 = 2 x 2 x 19 x 127

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 = 23299928 = 2 x 2 x 2 x 17 x 19 x 71 x 127

Step 4: Therefore, the least common multiple of 9652 and 9656 is 23299928.