Least Common Multiple of 1260 and 1266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1260 and 1266 the smallest integer that is 265860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1260 and 1266 is 265860.

LCM(1260,1266) = 265860

LCM of 1260 and 1266

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

LCM of:
and

Least Common Multiple of 1260 and 1266

LCM of 1260 and 1266 is 265860

Least common multiple can be found by multiplying the highest exponent prime factors of 1260 and 1266. First we will calculate the prime factors of 1260 and 1266.

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

Prime Factorization of 1266


2 1266
3 633
211 211
1

Prime factors of 1266 are 2, 3,211. Prime factorization of 1266 in exponential form is:

1266 = 21×31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1260 and 1266.

LCM(1260,1266) = 22×32×51×71×2111
LCM(1260,1266) = 265860

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

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1, 2, 3, 6, 211, 422, 633, 1266

Least Common Multiple of 1260 and 1266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1260 and 1266, than apply into the LCM equation.

GCF(1260,1266) = 6
LCM(1260,1266) = ( 1260 × 1266) / 6
LCM(1260,1266) = 1595160 / 6
LCM(1260,1266) = 265860

Properties of LCM 1260 and 1266

(i) The LCM of 1266 and 1260 is associative

LCM of 1260 and 1266 = LCM of 1266 and 1260

Related Least Common Multiples of 1260

Related Least Common Multiples of 1266

Frequently Asked Questions on LCM of 1260 and 1266

1. What is the LCM of 1260 and 1266?

Answer: LCM of 1260 and 1266 is 265860.

2. 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.

3. What are the Factors of 1266?

Answer: Factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266. There are 8 integers that are factors of 1266. The greatest factor of 1266 is 1266.

4. How to Find the LCM of 1260 and 1266?

Answer:

Least Common Multiple of 1260 and 1266 = 265860

Step 1: Find the prime factorization of 1260

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

Step 2: Find the prime factorization of 1266

1266 = 2 x 3 x 211

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

LCM = 265860 = 2 x 2 x 3 x 3 x 5 x 7 x 211

Step 4: Therefore, the least common multiple of 1260 and 1266 is 265860.