Least Common Multiple of 252 and 260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 252 and 260 the smallest integer that is 16380 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 260 is 16380.

LCM(252,260) = 16380

LCM of 252 and 260

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

LCM of:
and

Least Common Multiple of 252 and 260

LCM of 252 and 260 is 16380

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 260. First we will calculate the prime factors of 252 and 260.

Prime Factorization of 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2, 3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

Prime Factorization of 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 252 and 260.

LCM(252,260) = 22×32×51×71×131
LCM(252,260) = 16380

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Least Common Multiple of 252 and 260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 260, than apply into the LCM equation.

GCF(252,260) = 4
LCM(252,260) = ( 252 × 260) / 4
LCM(252,260) = 65520 / 4
LCM(252,260) = 16380

Properties of LCM 252 and 260

(i) The LCM of 260 and 252 is associative

LCM of 252 and 260 = LCM of 260 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 252 and 260

1. What is the LCM of 252 and 260?

Answer: LCM of 252 and 260 is 16380.

2. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

3. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

4. How to Find the LCM of 252 and 260?

Answer:

Least Common Multiple of 252 and 260 = 16380

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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

LCM = 16380 = 2 x 2 x 3 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 252 and 260 is 16380.