Least Common Multiple of 1269 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 1269 and 1274 the smallest integer that is 1616706 that is divisible by both numbers.

Least Common Multiple (LCM) of 1269 and 1274 is 1616706.

LCM(1269,1274) = 1616706

LCM of 1269 and 1274

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

LCM of:
and

Least Common Multiple of 1269 and 1274

LCM of 1269 and 1274 is 1616706

Least common multiple can be found by multiplying the highest exponent prime factors of 1269 and 1274. First we will calculate the prime factors of 1269 and 1274.

Prime Factorization of 1269


3 1269
3 423
3 141
47 47
1

Prime factors of 1269 are 3,47. Prime factorization of 1269 in exponential form is:

1269 = 33×471

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 1269 and 1274.

LCM(1269,1274) = 21×33×72×131×471
LCM(1269,1274) = 1616706

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1, 3, 9, 27, 47, 141, 423, 1269

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 1269 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 1269 and 1274, than apply into the LCM equation.

GCF(1269,1274) = 1
LCM(1269,1274) = ( 1269 × 1274) / 1
LCM(1269,1274) = 1616706 / 1
LCM(1269,1274) = 1616706

Properties of LCM 1269 and 1274

(i) The LCM of 1274 and 1269 is associative

LCM of 1269 and 1274 = LCM of 1274 and 1269

Related Least Common Multiples of 1269

Related Least Common Multiples of 1274

Frequently Asked Questions on LCM of 1269 and 1274

1. What is the LCM of 1269 and 1274?

Answer: LCM of 1269 and 1274 is 1616706.

2. What are the Factors of 1269?

Answer: Factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269. There are 8 integers that are factors of 1269. The greatest factor of 1269 is 1269.

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 1269 and 1274?

Answer:

Least Common Multiple of 1269 and 1274 = 1616706

Step 1: Find the prime factorization of 1269

1269 = 3 x 3 x 3 x 47

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 = 1616706 = 2 x 3 x 3 x 3 x 7 x 7 x 13 x 47

Step 4: Therefore, the least common multiple of 1269 and 1274 is 1616706.