Least Common Multiple of 1271 and 1277

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 1277 the smallest integer that is 1623067 that is divisible by both numbers.

Least Common Multiple (LCM) of 1271 and 1277 is 1623067.

LCM(1271,1277) = 1623067

LCM of 1271 and 1277

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

LCM of:
and

Least Common Multiple of 1271 and 1277

LCM of 1271 and 1277 is 1623067

Least common multiple can be found by multiplying the highest exponent prime factors of 1271 and 1277. First we will calculate the prime factors of 1271 and 1277.

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 1277


1277 1277
1

Prime factors of 1277 are 1277. Prime factorization of 1277 in exponential form is:

1277 = 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 1271 and 1277.

LCM(1271,1277) = 311×411×12771
LCM(1271,1277) = 1623067

Factors of 1271

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

1, 31, 41, 1271

Factors of 1277

List of positive integer factors of 1277 that divides 1277 without a remainder.

1, 1277

Least Common Multiple of 1271 and 1277 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 1277, than apply into the LCM equation.

GCF(1271,1277) = 1
LCM(1271,1277) = ( 1271 × 1277) / 1
LCM(1271,1277) = 1623067 / 1
LCM(1271,1277) = 1623067

Properties of LCM 1271 and 1277

(i) The LCM of 1277 and 1271 is associative

LCM of 1271 and 1277 = LCM of 1277 and 1271

Related Least Common Multiples of 1271

Related Least Common Multiples of 1277

Frequently Asked Questions on LCM of 1271 and 1277

1. What is the LCM of 1271 and 1277?

Answer: LCM of 1271 and 1277 is 1623067.

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 1277?

Answer: Factors of 1277 are 1, 1277. There are 2 integers that are factors of 1277. The greatest factor of 1277 is 1277.

4. How to Find the LCM of 1271 and 1277?

Answer:

Least Common Multiple of 1271 and 1277 = 1623067

Step 1: Find the prime factorization of 1271

1271 = 31 x 41

Step 2: Find the prime factorization of 1277

1277 = 1277

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

LCM = 1623067 = 31 x 41 x 1277

Step 4: Therefore, the least common multiple of 1271 and 1277 is 1623067.