Least Common Multiple of 9652 and 9659

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 9659 the smallest integer that is 93228668 that is divisible by both numbers.

Least Common Multiple (LCM) of 9652 and 9659 is 93228668.

LCM(9652,9659) = 93228668

LCM of 9652 and 9659

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

LCM of:
and

Least Common Multiple of 9652 and 9659

LCM of 9652 and 9659 is 93228668

Least common multiple can be found by multiplying the highest exponent prime factors of 9652 and 9659. First we will calculate the prime factors of 9652 and 9659.

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 9659


13 9659
743 743
1

Prime factors of 9659 are 13,743. Prime factorization of 9659 in exponential form is:

9659 = 131×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 9652 and 9659.

LCM(9652,9659) = 22×131×191×1271×7431
LCM(9652,9659) = 93228668

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 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1, 13, 743, 9659

Least Common Multiple of 9652 and 9659 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 9659, than apply into the LCM equation.

GCF(9652,9659) = 1
LCM(9652,9659) = ( 9652 × 9659) / 1
LCM(9652,9659) = 93228668 / 1
LCM(9652,9659) = 93228668

Properties of LCM 9652 and 9659

(i) The LCM of 9659 and 9652 is associative

LCM of 9652 and 9659 = LCM of 9659 and 9652

Related Least Common Multiples of 9652

Related Least Common Multiples of 9659

Frequently Asked Questions on LCM of 9652 and 9659

1. What is the LCM of 9652 and 9659?

Answer: LCM of 9652 and 9659 is 93228668.

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 9659?

Answer: Factors of 9659 are 1, 13, 743, 9659. There are 4 integers that are factors of 9659. The greatest factor of 9659 is 9659.

4. How to Find the LCM of 9652 and 9659?

Answer:

Least Common Multiple of 9652 and 9659 = 93228668

Step 1: Find the prime factorization of 9652

9652 = 2 x 2 x 19 x 127

Step 2: Find the prime factorization of 9659

9659 = 13 x 743

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

LCM = 93228668 = 2 x 2 x 13 x 19 x 127 x 743

Step 4: Therefore, the least common multiple of 9652 and 9659 is 93228668.