Least Common Multiple of 1274 and 1279

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 1279 the smallest integer that is 1629446 that is divisible by both numbers.

Least Common Multiple (LCM) of 1274 and 1279 is 1629446.

LCM(1274,1279) = 1629446

LCM of 1274 and 1279

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

LCM of:
and

Least Common Multiple of 1274 and 1279

LCM of 1274 and 1279 is 1629446

Least common multiple can be found by multiplying the highest exponent prime factors of 1274 and 1279. First we will calculate the prime factors of 1274 and 1279.

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 1279


1279 1279
1

Prime factors of 1279 are 1279. Prime factorization of 1279 in exponential form is:

1279 = 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 1274 and 1279.

LCM(1274,1279) = 21×72×131×12791
LCM(1274,1279) = 1629446

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 1279

List of positive integer factors of 1279 that divides 1279 without a remainder.

1, 1279

Least Common Multiple of 1274 and 1279 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 1279, than apply into the LCM equation.

GCF(1274,1279) = 1
LCM(1274,1279) = ( 1274 × 1279) / 1
LCM(1274,1279) = 1629446 / 1
LCM(1274,1279) = 1629446

Properties of LCM 1274 and 1279

(i) The LCM of 1279 and 1274 is associative

LCM of 1274 and 1279 = LCM of 1279 and 1274

Related Least Common Multiples of 1274

Related Least Common Multiples of 1279

Frequently Asked Questions on LCM of 1274 and 1279

1. What is the LCM of 1274 and 1279?

Answer: LCM of 1274 and 1279 is 1629446.

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 1279?

Answer: Factors of 1279 are 1, 1279. There are 2 integers that are factors of 1279. The greatest factor of 1279 is 1279.

4. How to Find the LCM of 1274 and 1279?

Answer:

Least Common Multiple of 1274 and 1279 = 1629446

Step 1: Find the prime factorization of 1274

1274 = 2 x 7 x 7 x 13

Step 2: Find the prime factorization of 1279

1279 = 1279

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

LCM = 1629446 = 2 x 7 x 7 x 13 x 1279

Step 4: Therefore, the least common multiple of 1274 and 1279 is 1629446.