Least Common Multiple of 9646 and 9652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9646 and 9652 the smallest integer that is 46551596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9646 and 9652 is 46551596.

LCM(9646,9652) = 46551596

LCM of 9646 and 9652

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

LCM of:
and

Least Common Multiple of 9646 and 9652

LCM of 9646 and 9652 is 46551596

Least common multiple can be found by multiplying the highest exponent prime factors of 9646 and 9652. First we will calculate the prime factors of 9646 and 9652.

Prime Factorization of 9646


2 9646
7 4823
13 689
53 53
1

Prime factors of 9646 are 2, 7, 13,53. Prime factorization of 9646 in exponential form is:

9646 = 21×71×131×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9646 and 9652.

LCM(9646,9652) = 22×71×131×191×531×1271
LCM(9646,9652) = 46551596

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646

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

Least Common Multiple of 9646 and 9652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9646 and 9652, than apply into the LCM equation.

GCF(9646,9652) = 2
LCM(9646,9652) = ( 9646 × 9652) / 2
LCM(9646,9652) = 93103192 / 2
LCM(9646,9652) = 46551596

Properties of LCM 9646 and 9652

(i) The LCM of 9652 and 9646 is associative

LCM of 9646 and 9652 = LCM of 9652 and 9646

Related Least Common Multiples of 9646

Related Least Common Multiples of 9652

Frequently Asked Questions on LCM of 9646 and 9652

1. What is the LCM of 9646 and 9652?

Answer: LCM of 9646 and 9652 is 46551596.

2. What are the Factors of 9646?

Answer: Factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646. There are 16 integers that are factors of 9646. The greatest factor of 9646 is 9646.

3. 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.

4. How to Find the LCM of 9646 and 9652?

Answer:

Least Common Multiple of 9646 and 9652 = 46551596

Step 1: Find the prime factorization of 9646

9646 = 2 x 7 x 13 x 53

Step 2: Find the prime factorization of 9652

9652 = 2 x 2 x 19 x 127

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

LCM = 46551596 = 2 x 2 x 7 x 13 x 19 x 53 x 127

Step 4: Therefore, the least common multiple of 9646 and 9652 is 46551596.