Least Common Multiple of 1277 and 1282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1277 and 1282 the smallest integer that is 1637114 that is divisible by both numbers.

Least Common Multiple (LCM) of 1277 and 1282 is 1637114.

LCM(1277,1282) = 1637114

LCM of 1277 and 1282

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

LCM of:
and

Least Common Multiple of 1277 and 1282

LCM of 1277 and 1282 is 1637114

Least common multiple can be found by multiplying the highest exponent prime factors of 1277 and 1282. First we will calculate the prime factors of 1277 and 1282.

Prime Factorization of 1277


1277 1277
1

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

1277 = 12771

Prime Factorization of 1282


2 1282
641 641
1

Prime factors of 1282 are 2,641. Prime factorization of 1282 in exponential form is:

1282 = 21×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 1277 and 1282.

LCM(1277,1282) = 21×6411×12771
LCM(1277,1282) = 1637114

Factors of 1277

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

1, 1277

Factors of 1282

List of positive integer factors of 1282 that divides 1282 without a remainder.

1, 2, 641, 1282

Least Common Multiple of 1277 and 1282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1277 and 1282, than apply into the LCM equation.

GCF(1277,1282) = 1
LCM(1277,1282) = ( 1277 × 1282) / 1
LCM(1277,1282) = 1637114 / 1
LCM(1277,1282) = 1637114

Properties of LCM 1277 and 1282

(i) The LCM of 1282 and 1277 is associative

LCM of 1277 and 1282 = LCM of 1282 and 1277

Related Least Common Multiples of 1277

Related Least Common Multiples of 1282

Frequently Asked Questions on LCM of 1277 and 1282

1. What is the LCM of 1277 and 1282?

Answer: LCM of 1277 and 1282 is 1637114.

2. 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.

3. What are the Factors of 1282?

Answer: Factors of 1282 are 1, 2, 641, 1282. There are 4 integers that are factors of 1282. The greatest factor of 1282 is 1282.

4. How to Find the LCM of 1277 and 1282?

Answer:

Least Common Multiple of 1277 and 1282 = 1637114

Step 1: Find the prime factorization of 1277

1277 = 1277

Step 2: Find the prime factorization of 1282

1282 = 2 x 641

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

LCM = 1637114 = 2 x 641 x 1277

Step 4: Therefore, the least common multiple of 1277 and 1282 is 1637114.