Least Common Multiple of 1254 and 1260

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 1260 the smallest integer that is 263340 that is divisible by both numbers.

Least Common Multiple (LCM) of 1254 and 1260 is 263340.

LCM(1254,1260) = 263340

LCM of 1254 and 1260

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

LCM of:
and

Least Common Multiple of 1254 and 1260

LCM of 1254 and 1260 is 263340

Least common multiple can be found by multiplying the highest exponent prime factors of 1254 and 1260. First we will calculate the prime factors of 1254 and 1260.

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 1260


2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 1260 are 2, 3, 5,7. Prime factorization of 1260 in exponential form is:

1260 = 22×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1254 and 1260.

LCM(1254,1260) = 22×32×51×71×111×191
LCM(1254,1260) = 263340

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 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260

Least Common Multiple of 1254 and 1260 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 1260, than apply into the LCM equation.

GCF(1254,1260) = 6
LCM(1254,1260) = ( 1254 × 1260) / 6
LCM(1254,1260) = 1580040 / 6
LCM(1254,1260) = 263340

Properties of LCM 1254 and 1260

(i) The LCM of 1260 and 1254 is associative

LCM of 1254 and 1260 = LCM of 1260 and 1254

Related Least Common Multiples of 1254

Related Least Common Multiples of 1260

Frequently Asked Questions on LCM of 1254 and 1260

1. What is the LCM of 1254 and 1260?

Answer: LCM of 1254 and 1260 is 263340.

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 1260?

Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.

4. How to Find the LCM of 1254 and 1260?

Answer:

Least Common Multiple of 1254 and 1260 = 263340

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1260

1260 = 2 x 2 x 3 x 3 x 5 x 7

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

LCM = 263340 = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 1254 and 1260 is 263340.