Least Common Multiple of 9652 and 9660

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 9660 the smallest integer that is 23309580 that is divisible by both numbers.

Least Common Multiple (LCM) of 9652 and 9660 is 23309580.

LCM(9652,9660) = 23309580

LCM of 9652 and 9660

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

LCM of:
and

Least Common Multiple of 9652 and 9660

LCM of 9652 and 9660 is 23309580

Least common multiple can be found by multiplying the highest exponent prime factors of 9652 and 9660. First we will calculate the prime factors of 9652 and 9660.

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 9660


2 9660
2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 9660 are 2, 3, 5, 7,23. Prime factorization of 9660 in exponential form is:

9660 = 22×31×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9652 and 9660.

LCM(9652,9660) = 22×31×51×71×191×231×1271
LCM(9652,9660) = 23309580

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 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660

Least Common Multiple of 9652 and 9660 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 9660, than apply into the LCM equation.

GCF(9652,9660) = 4
LCM(9652,9660) = ( 9652 × 9660) / 4
LCM(9652,9660) = 93238320 / 4
LCM(9652,9660) = 23309580

Properties of LCM 9652 and 9660

(i) The LCM of 9660 and 9652 is associative

LCM of 9652 and 9660 = LCM of 9660 and 9652

Related Least Common Multiples of 9652

Related Least Common Multiples of 9660

Frequently Asked Questions on LCM of 9652 and 9660

1. What is the LCM of 9652 and 9660?

Answer: LCM of 9652 and 9660 is 23309580.

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 9660?

Answer: Factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660. There are 48 integers that are factors of 9660. The greatest factor of 9660 is 9660.

4. How to Find the LCM of 9652 and 9660?

Answer:

Least Common Multiple of 9652 and 9660 = 23309580

Step 1: Find the prime factorization of 9652

9652 = 2 x 2 x 19 x 127

Step 2: Find the prime factorization of 9660

9660 = 2 x 2 x 3 x 5 x 7 x 23

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

LCM = 23309580 = 2 x 2 x 3 x 5 x 7 x 19 x 23 x 127

Step 4: Therefore, the least common multiple of 9652 and 9660 is 23309580.