Least Common Multiple of 1265 and 1270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1265 and 1270 the smallest integer that is 321310 that is divisible by both numbers.

Least Common Multiple (LCM) of 1265 and 1270 is 321310.

LCM(1265,1270) = 321310

LCM of 1265 and 1270

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

LCM of:
and

Least Common Multiple of 1265 and 1270

LCM of 1265 and 1270 is 321310

Least common multiple can be found by multiplying the highest exponent prime factors of 1265 and 1270. First we will calculate the prime factors of 1265 and 1270.

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

Prime Factorization of 1270


2 1270
5 635
127 127
1

Prime factors of 1270 are 2, 5,127. Prime factorization of 1270 in exponential form is:

1270 = 21×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1265 and 1270.

LCM(1265,1270) = 21×51×111×231×1271
LCM(1265,1270) = 321310

Factors of 1265

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

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

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1, 2, 5, 10, 127, 254, 635, 1270

Least Common Multiple of 1265 and 1270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1265 and 1270, than apply into the LCM equation.

GCF(1265,1270) = 5
LCM(1265,1270) = ( 1265 × 1270) / 5
LCM(1265,1270) = 1606550 / 5
LCM(1265,1270) = 321310

Properties of LCM 1265 and 1270

(i) The LCM of 1270 and 1265 is associative

LCM of 1265 and 1270 = LCM of 1270 and 1265

Related Least Common Multiples of 1265

Related Least Common Multiples of 1270

Frequently Asked Questions on LCM of 1265 and 1270

1. What is the LCM of 1265 and 1270?

Answer: LCM of 1265 and 1270 is 321310.

2. 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.

3. What are the Factors of 1270?

Answer: Factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270. There are 8 integers that are factors of 1270. The greatest factor of 1270 is 1270.

4. How to Find the LCM of 1265 and 1270?

Answer:

Least Common Multiple of 1265 and 1270 = 321310

Step 1: Find the prime factorization of 1265

1265 = 5 x 11 x 23

Step 2: Find the prime factorization of 1270

1270 = 2 x 5 x 127

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

LCM = 321310 = 2 x 5 x 11 x 23 x 127

Step 4: Therefore, the least common multiple of 1265 and 1270 is 321310.