Least Common Multiple of 1254 and 1262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1254 and 1262 the smallest integer that is 791274 that is divisible by both numbers.

Least Common Multiple (LCM) of 1254 and 1262 is 791274.

LCM(1254,1262) = 791274

LCM of 1254 and 1262

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

LCM of:
and

Least Common Multiple of 1254 and 1262

LCM of 1254 and 1262 is 791274

Least common multiple can be found by multiplying the highest exponent prime factors of 1254 and 1262. First we will calculate the prime factors of 1254 and 1262.

Prime Factorization of 1254


2 1254
3 627
11 209
19 19
1

Prime factors of 1254 are 2, 3, 11,19. Prime factorization of 1254 in exponential form is:

1254 = 21×31×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1254 and 1262.

LCM(1254,1262) = 21×31×111×191×6311
LCM(1254,1262) = 791274

Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254

Factors of 1262

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

1, 2, 631, 1262

Least Common Multiple of 1254 and 1262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1254 and 1262, than apply into the LCM equation.

GCF(1254,1262) = 2
LCM(1254,1262) = ( 1254 × 1262) / 2
LCM(1254,1262) = 1582548 / 2
LCM(1254,1262) = 791274

Properties of LCM 1254 and 1262

(i) The LCM of 1262 and 1254 is associative

LCM of 1254 and 1262 = LCM of 1262 and 1254

Related Least Common Multiples of 1254

Related Least Common Multiples of 1262

Frequently Asked Questions on LCM of 1254 and 1262

1. What is the LCM of 1254 and 1262?

Answer: LCM of 1254 and 1262 is 791274.

2. What are the Factors of 1254?

Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.

3. 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.

4. How to Find the LCM of 1254 and 1262?

Answer:

Least Common Multiple of 1254 and 1262 = 791274

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1262

1262 = 2 x 631

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

LCM = 791274 = 2 x 3 x 11 x 19 x 631

Step 4: Therefore, the least common multiple of 1254 and 1262 is 791274.