Least Common Multiple of 1262 and 1267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1262 and 1267 the smallest integer that is 1598954 that is divisible by both numbers.

Least Common Multiple (LCM) of 1262 and 1267 is 1598954.

LCM(1262,1267) = 1598954

LCM of 1262 and 1267

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

LCM of:
and

Least Common Multiple of 1262 and 1267

LCM of 1262 and 1267 is 1598954

Least common multiple can be found by multiplying the highest exponent prime factors of 1262 and 1267. First we will calculate the prime factors of 1262 and 1267.

Prime Factorization of 1262


2 1262
631 631
1

Prime factors of 1262 are 2,631. Prime factorization of 1262 in exponential form is:

1262 = 21×6311

Prime Factorization of 1267


7 1267
181 181
1

Prime factors of 1267 are 7,181. Prime factorization of 1267 in exponential form is:

1267 = 71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1262 and 1267.

LCM(1262,1267) = 21×71×1811×6311
LCM(1262,1267) = 1598954

Factors of 1262

List of positive integer factors of 1262 that divides 1262 without a remainder.

1, 2, 631, 1262

Factors of 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1, 7, 181, 1267

Least Common Multiple of 1262 and 1267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1262 and 1267, than apply into the LCM equation.

GCF(1262,1267) = 1
LCM(1262,1267) = ( 1262 × 1267) / 1
LCM(1262,1267) = 1598954 / 1
LCM(1262,1267) = 1598954

Properties of LCM 1262 and 1267

(i) The LCM of 1267 and 1262 is associative

LCM of 1262 and 1267 = LCM of 1267 and 1262

Related Least Common Multiples of 1262

Related Least Common Multiples of 1267

Frequently Asked Questions on LCM of 1262 and 1267

1. What is the LCM of 1262 and 1267?

Answer: LCM of 1262 and 1267 is 1598954.

2. What are the Factors of 1262?

Answer: Factors of 1262 are 1, 2, 631, 1262. There are 4 integers that are factors of 1262. The greatest factor of 1262 is 1262.

3. What are the Factors of 1267?

Answer: Factors of 1267 are 1, 7, 181, 1267. There are 4 integers that are factors of 1267. The greatest factor of 1267 is 1267.

4. How to Find the LCM of 1262 and 1267?

Answer:

Least Common Multiple of 1262 and 1267 = 1598954

Step 1: Find the prime factorization of 1262

1262 = 2 x 631

Step 2: Find the prime factorization of 1267

1267 = 7 x 181

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

LCM = 1598954 = 2 x 7 x 181 x 631

Step 4: Therefore, the least common multiple of 1262 and 1267 is 1598954.