Least Common Multiple of 1269 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 1269 and 1277 the smallest integer that is 1620513 that is divisible by both numbers.

Least Common Multiple (LCM) of 1269 and 1277 is 1620513.

LCM(1269,1277) = 1620513

LCM of 1269 and 1277

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

LCM of:
and

Least Common Multiple of 1269 and 1277

LCM of 1269 and 1277 is 1620513

Least common multiple can be found by multiplying the highest exponent prime factors of 1269 and 1277. First we will calculate the prime factors of 1269 and 1277.

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 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 1269 and 1277.

LCM(1269,1277) = 33×471×12771
LCM(1269,1277) = 1620513

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 1277

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

1, 1277

Least Common Multiple of 1269 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 1269 and 1277, than apply into the LCM equation.

GCF(1269,1277) = 1
LCM(1269,1277) = ( 1269 × 1277) / 1
LCM(1269,1277) = 1620513 / 1
LCM(1269,1277) = 1620513

Properties of LCM 1269 and 1277

(i) The LCM of 1277 and 1269 is associative

LCM of 1269 and 1277 = LCM of 1277 and 1269

Related Least Common Multiples of 1269

Related Least Common Multiples of 1277

Frequently Asked Questions on LCM of 1269 and 1277

1. What is the LCM of 1269 and 1277?

Answer: LCM of 1269 and 1277 is 1620513.

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 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 1269 and 1277?

Answer:

Least Common Multiple of 1269 and 1277 = 1620513

Step 1: Find the prime factorization of 1269

1269 = 3 x 3 x 3 x 47

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 = 1620513 = 3 x 3 x 3 x 47 x 1277

Step 4: Therefore, the least common multiple of 1269 and 1277 is 1620513.