Least Common Multiple of 1267 and 1274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1267 and 1274 the smallest integer that is 230594 that is divisible by both numbers.

Least Common Multiple (LCM) of 1267 and 1274 is 230594.

LCM(1267,1274) = 230594

LCM of 1267 and 1274

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

LCM of:
and

Least Common Multiple of 1267 and 1274

LCM of 1267 and 1274 is 230594

Least common multiple can be found by multiplying the highest exponent prime factors of 1267 and 1274. First we will calculate the prime factors of 1267 and 1274.

Prime Factorization of 1267


7 1267
181 181
1

Prime factors of 1267 are 7,181. Prime factorization of 1267 in exponential form is:

1267 = 71×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1267 and 1274.

LCM(1267,1274) = 21×72×131×1811
LCM(1267,1274) = 230594

Factors of 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1, 7, 181, 1267

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

Least Common Multiple of 1267 and 1274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1267 and 1274, than apply into the LCM equation.

GCF(1267,1274) = 7
LCM(1267,1274) = ( 1267 × 1274) / 7
LCM(1267,1274) = 1614158 / 7
LCM(1267,1274) = 230594

Properties of LCM 1267 and 1274

(i) The LCM of 1274 and 1267 is associative

LCM of 1267 and 1274 = LCM of 1274 and 1267

Related Least Common Multiples of 1267

Related Least Common Multiples of 1274

Frequently Asked Questions on LCM of 1267 and 1274

1. What is the LCM of 1267 and 1274?

Answer: LCM of 1267 and 1274 is 230594.

2. What are the Factors of 1267?

Answer: Factors of 1267 are 1, 7, 181, 1267. There are 4 integers that are factors of 1267. The greatest factor of 1267 is 1267.

3. 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.

4. How to Find the LCM of 1267 and 1274?

Answer:

Least Common Multiple of 1267 and 1274 = 230594

Step 1: Find the prime factorization of 1267

1267 = 7 x 181

Step 2: Find the prime factorization of 1274

1274 = 2 x 7 x 7 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 = 230594 = 2 x 7 x 7 x 13 x 181

Step 4: Therefore, the least common multiple of 1267 and 1274 is 230594.