Least Common Multiple of 1260 and 1268

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 1268 the smallest integer that is 399420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1260 and 1268 is 399420.

LCM(1260,1268) = 399420

LCM of 1260 and 1268

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

LCM of:
and

Least Common Multiple of 1260 and 1268

LCM of 1260 and 1268 is 399420

Least common multiple can be found by multiplying the highest exponent prime factors of 1260 and 1268. First we will calculate the prime factors of 1260 and 1268.

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 1268


2 1268
2 634
317 317
1

Prime factors of 1268 are 2,317. Prime factorization of 1268 in exponential form is:

1268 = 22×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 1260 and 1268.

LCM(1260,1268) = 22×32×51×71×3171
LCM(1260,1268) = 399420

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 1268

List of positive integer factors of 1268 that divides 1268 without a remainder.

1, 2, 4, 317, 634, 1268

Least Common Multiple of 1260 and 1268 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 1268, than apply into the LCM equation.

GCF(1260,1268) = 4
LCM(1260,1268) = ( 1260 × 1268) / 4
LCM(1260,1268) = 1597680 / 4
LCM(1260,1268) = 399420

Properties of LCM 1260 and 1268

(i) The LCM of 1268 and 1260 is associative

LCM of 1260 and 1268 = LCM of 1268 and 1260

Related Least Common Multiples of 1260

Related Least Common Multiples of 1268

Frequently Asked Questions on LCM of 1260 and 1268

1. What is the LCM of 1260 and 1268?

Answer: LCM of 1260 and 1268 is 399420.

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 1268?

Answer: Factors of 1268 are 1, 2, 4, 317, 634, 1268. There are 6 integers that are factors of 1268. The greatest factor of 1268 is 1268.

4. How to Find the LCM of 1260 and 1268?

Answer:

Least Common Multiple of 1260 and 1268 = 399420

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 1268

1268 = 2 x 2 x 317

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

LCM = 399420 = 2 x 2 x 3 x 3 x 5 x 7 x 317

Step 4: Therefore, the least common multiple of 1260 and 1268 is 399420.