Least Common Multiple of 1271 and 1278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1271 and 1278 the smallest integer that is 1624338 that is divisible by both numbers.

Least Common Multiple (LCM) of 1271 and 1278 is 1624338.

LCM(1271,1278) = 1624338

LCM of 1271 and 1278

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

LCM of:
and

Least Common Multiple of 1271 and 1278

LCM of 1271 and 1278 is 1624338

Least common multiple can be found by multiplying the highest exponent prime factors of 1271 and 1278. First we will calculate the prime factors of 1271 and 1278.

Prime Factorization of 1271


31 1271
41 41
1

Prime factors of 1271 are 31,41. Prime factorization of 1271 in exponential form is:

1271 = 311×411

Prime Factorization of 1278


2 1278
3 639
3 213
71 71
1

Prime factors of 1278 are 2, 3,71. Prime factorization of 1278 in exponential form is:

1278 = 21×32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1271 and 1278.

LCM(1271,1278) = 21×32×311×411×711
LCM(1271,1278) = 1624338

Factors of 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1, 31, 41, 1271

Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278

Least Common Multiple of 1271 and 1278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1271 and 1278, than apply into the LCM equation.

GCF(1271,1278) = 1
LCM(1271,1278) = ( 1271 × 1278) / 1
LCM(1271,1278) = 1624338 / 1
LCM(1271,1278) = 1624338

Properties of LCM 1271 and 1278

(i) The LCM of 1278 and 1271 is associative

LCM of 1271 and 1278 = LCM of 1278 and 1271

Related Least Common Multiples of 1271

Related Least Common Multiples of 1278

Frequently Asked Questions on LCM of 1271 and 1278

1. What is the LCM of 1271 and 1278?

Answer: LCM of 1271 and 1278 is 1624338.

2. What are the Factors of 1271?

Answer: Factors of 1271 are 1, 31, 41, 1271. There are 4 integers that are factors of 1271. The greatest factor of 1271 is 1271.

3. What are the Factors of 1278?

Answer: Factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278. There are 12 integers that are factors of 1278. The greatest factor of 1278 is 1278.

4. How to Find the LCM of 1271 and 1278?

Answer:

Least Common Multiple of 1271 and 1278 = 1624338

Step 1: Find the prime factorization of 1271

1271 = 31 x 41

Step 2: Find the prime factorization of 1278

1278 = 2 x 3 x 3 x 71

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

LCM = 1624338 = 2 x 3 x 3 x 31 x 41 x 71

Step 4: Therefore, the least common multiple of 1271 and 1278 is 1624338.