Least Common Multiple of 9647 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 9647 and 9652 the smallest integer that is 93112844 that is divisible by both numbers.

Least Common Multiple (LCM) of 9647 and 9652 is 93112844.

LCM(9647,9652) = 93112844

LCM of 9647 and 9652

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

LCM of:
and

Least Common Multiple of 9647 and 9652

LCM of 9647 and 9652 is 93112844

Least common multiple can be found by multiplying the highest exponent prime factors of 9647 and 9652. First we will calculate the prime factors of 9647 and 9652.

Prime Factorization of 9647


11 9647
877 877
1

Prime factors of 9647 are 11,877. Prime factorization of 9647 in exponential form is:

9647 = 111×8771

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 9647 and 9652.

LCM(9647,9652) = 22×111×191×1271×8771
LCM(9647,9652) = 93112844

Factors of 9647

List of positive integer factors of 9647 that divides 9647 without a remainder.

1, 11, 877, 9647

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 9647 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 9647 and 9652, than apply into the LCM equation.

GCF(9647,9652) = 1
LCM(9647,9652) = ( 9647 × 9652) / 1
LCM(9647,9652) = 93112844 / 1
LCM(9647,9652) = 93112844

Properties of LCM 9647 and 9652

(i) The LCM of 9652 and 9647 is associative

LCM of 9647 and 9652 = LCM of 9652 and 9647

Related Least Common Multiples of 9647

Related Least Common Multiples of 9652

Frequently Asked Questions on LCM of 9647 and 9652

1. What is the LCM of 9647 and 9652?

Answer: LCM of 9647 and 9652 is 93112844.

2. What are the Factors of 9647?

Answer: Factors of 9647 are 1, 11, 877, 9647. There are 4 integers that are factors of 9647. The greatest factor of 9647 is 9647.

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 9647 and 9652?

Answer:

Least Common Multiple of 9647 and 9652 = 93112844

Step 1: Find the prime factorization of 9647

9647 = 11 x 877

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 = 93112844 = 2 x 2 x 11 x 19 x 127 x 877

Step 4: Therefore, the least common multiple of 9647 and 9652 is 93112844.