Least Common Multiple of 652 and 660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 652 and 660 the smallest integer that is 107580 that is divisible by both numbers.

Least Common Multiple (LCM) of 652 and 660 is 107580.

LCM(652,660) = 107580

LCM of 652 and 660

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

LCM of:
and

Least Common Multiple of 652 and 660

LCM of 652 and 660 is 107580

Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 660. First we will calculate the prime factors of 652 and 660.

Prime Factorization of 652


2 652
2 326
163 163
1

Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:

652 = 22×1631

Prime Factorization of 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2, 3, 5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 652 and 660.

LCM(652,660) = 22×31×51×111×1631
LCM(652,660) = 107580

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Least Common Multiple of 652 and 660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 652 and 660, than apply into the LCM equation.

GCF(652,660) = 4
LCM(652,660) = ( 652 × 660) / 4
LCM(652,660) = 430320 / 4
LCM(652,660) = 107580

Properties of LCM 652 and 660

(i) The LCM of 660 and 652 is associative

LCM of 652 and 660 = LCM of 660 and 652

Related Least Common Multiples of 652

Related Least Common Multiples of 660

Frequently Asked Questions on LCM of 652 and 660

1. What is the LCM of 652 and 660?

Answer: LCM of 652 and 660 is 107580.

2. What are the Factors of 652?

Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.

3. What are the Factors of 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

4. How to Find the LCM of 652 and 660?

Answer:

Least Common Multiple of 652 and 660 = 107580

Step 1: Find the prime factorization of 652

652 = 2 x 2 x 163

Step 2: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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

LCM = 107580 = 2 x 2 x 3 x 5 x 11 x 163

Step 4: Therefore, the least common multiple of 652 and 660 is 107580.