Least Common Multiple of 1270 and 1276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1270 and 1276 the smallest integer that is 810260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1270 and 1276 is 810260.

LCM(1270,1276) = 810260

LCM of 1270 and 1276

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

LCM of:
and

Least Common Multiple of 1270 and 1276

LCM of 1270 and 1276 is 810260

Least common multiple can be found by multiplying the highest exponent prime factors of 1270 and 1276. First we will calculate the prime factors of 1270 and 1276.

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

Prime Factorization of 1276


2 1276
2 638
11 319
29 29
1

Prime factors of 1276 are 2, 11,29. Prime factorization of 1276 in exponential form is:

1276 = 22×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1270 and 1276.

LCM(1270,1276) = 22×51×111×291×1271
LCM(1270,1276) = 810260

Factors of 1270

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

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

Factors of 1276

List of positive integer factors of 1276 that divides 1276 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276

Least Common Multiple of 1270 and 1276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1270 and 1276, than apply into the LCM equation.

GCF(1270,1276) = 2
LCM(1270,1276) = ( 1270 × 1276) / 2
LCM(1270,1276) = 1620520 / 2
LCM(1270,1276) = 810260

Properties of LCM 1270 and 1276

(i) The LCM of 1276 and 1270 is associative

LCM of 1270 and 1276 = LCM of 1276 and 1270

Related Least Common Multiples of 1270

Related Least Common Multiples of 1276

Frequently Asked Questions on LCM of 1270 and 1276

1. What is the LCM of 1270 and 1276?

Answer: LCM of 1270 and 1276 is 810260.

2. 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.

3. What are the Factors of 1276?

Answer: Factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276. There are 12 integers that are factors of 1276. The greatest factor of 1276 is 1276.

4. How to Find the LCM of 1270 and 1276?

Answer:

Least Common Multiple of 1270 and 1276 = 810260

Step 1: Find the prime factorization of 1270

1270 = 2 x 5 x 127

Step 2: Find the prime factorization of 1276

1276 = 2 x 2 x 11 x 29

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

LCM = 810260 = 2 x 2 x 5 x 11 x 29 x 127

Step 4: Therefore, the least common multiple of 1270 and 1276 is 810260.