Least Common Multiple of 1260 and 1265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1260 and 1265 the smallest integer that is 318780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1260 and 1265 is 318780.

LCM(1260,1265) = 318780

LCM of 1260 and 1265

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

LCM of:
and

Least Common Multiple of 1260 and 1265

LCM of 1260 and 1265 is 318780

Least common multiple can be found by multiplying the highest exponent prime factors of 1260 and 1265. First we will calculate the prime factors of 1260 and 1265.

Prime Factorization of 1260


2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 1260 are 2, 3, 5,7. Prime factorization of 1260 in exponential form is:

1260 = 22×32×51×71

Prime Factorization of 1265


5 1265
11 253
23 23
1

Prime factors of 1265 are 5, 11,23. Prime factorization of 1265 in exponential form is:

1265 = 51×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1260 and 1265.

LCM(1260,1265) = 22×32×51×71×111×231
LCM(1260,1265) = 318780

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260

Factors of 1265

List of positive integer factors of 1265 that divides 1265 without a remainder.

1, 5, 11, 23, 55, 115, 253, 1265

Least Common Multiple of 1260 and 1265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1260 and 1265, than apply into the LCM equation.

GCF(1260,1265) = 5
LCM(1260,1265) = ( 1260 × 1265) / 5
LCM(1260,1265) = 1593900 / 5
LCM(1260,1265) = 318780

Properties of LCM 1260 and 1265

(i) The LCM of 1265 and 1260 is associative

LCM of 1260 and 1265 = LCM of 1265 and 1260

Related Least Common Multiples of 1260

Related Least Common Multiples of 1265

Frequently Asked Questions on LCM of 1260 and 1265

1. What is the LCM of 1260 and 1265?

Answer: LCM of 1260 and 1265 is 318780.

2. What are the Factors of 1260?

Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.

3. What are the Factors of 1265?

Answer: Factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265. There are 8 integers that are factors of 1265. The greatest factor of 1265 is 1265.

4. How to Find the LCM of 1260 and 1265?

Answer:

Least Common Multiple of 1260 and 1265 = 318780

Step 1: Find the prime factorization of 1260

1260 = 2 x 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 1265

1265 = 5 x 11 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 = 318780 = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 1260 and 1265 is 318780.