Least Common Multiple of 1274 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 1274 and 1276 the smallest integer that is 812812 that is divisible by both numbers.

Least Common Multiple (LCM) of 1274 and 1276 is 812812.

LCM(1274,1276) = 812812

LCM of 1274 and 1276

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

LCM of:
and

Least Common Multiple of 1274 and 1276

LCM of 1274 and 1276 is 812812

Least common multiple can be found by multiplying the highest exponent prime factors of 1274 and 1276. First we will calculate the prime factors of 1274 and 1276.

Prime Factorization of 1274


2 1274
7 637
7 91
13 13
1

Prime factors of 1274 are 2, 7,13. Prime factorization of 1274 in exponential form is:

1274 = 21×72×131

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 1274 and 1276.

LCM(1274,1276) = 22×72×111×131×291
LCM(1274,1276) = 812812

Factors of 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274

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 1274 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 1274 and 1276, than apply into the LCM equation.

GCF(1274,1276) = 2
LCM(1274,1276) = ( 1274 × 1276) / 2
LCM(1274,1276) = 1625624 / 2
LCM(1274,1276) = 812812

Properties of LCM 1274 and 1276

(i) The LCM of 1276 and 1274 is associative

LCM of 1274 and 1276 = LCM of 1276 and 1274

Related Least Common Multiples of 1274

Related Least Common Multiples of 1276

Frequently Asked Questions on LCM of 1274 and 1276

1. What is the LCM of 1274 and 1276?

Answer: LCM of 1274 and 1276 is 812812.

2. What are the Factors of 1274?

Answer: Factors of 1274 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274. There are 12 integers that are factors of 1274. The greatest factor of 1274 is 1274.

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 1274 and 1276?

Answer:

Least Common Multiple of 1274 and 1276 = 812812

Step 1: Find the prime factorization of 1274

1274 = 2 x 7 x 7 x 13

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 = 812812 = 2 x 2 x 7 x 7 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 1274 and 1276 is 812812.