Least Common Multiple of 1264 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 1264 and 1268 the smallest integer that is 400688 that is divisible by both numbers.

Least Common Multiple (LCM) of 1264 and 1268 is 400688.

LCM(1264,1268) = 400688

LCM of 1264 and 1268

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

LCM of:
and

Least Common Multiple of 1264 and 1268

LCM of 1264 and 1268 is 400688

Least common multiple can be found by multiplying the highest exponent prime factors of 1264 and 1268. First we will calculate the prime factors of 1264 and 1268.

Prime Factorization of 1264


2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 1264 are 2,79. Prime factorization of 1264 in exponential form is:

1264 = 24×791

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 1264 and 1268.

LCM(1264,1268) = 24×791×3171
LCM(1264,1268) = 400688

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1, 2, 4, 8, 16, 79, 158, 316, 632, 1264

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 1264 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 1264 and 1268, than apply into the LCM equation.

GCF(1264,1268) = 4
LCM(1264,1268) = ( 1264 × 1268) / 4
LCM(1264,1268) = 1602752 / 4
LCM(1264,1268) = 400688

Properties of LCM 1264 and 1268

(i) The LCM of 1268 and 1264 is associative

LCM of 1264 and 1268 = LCM of 1268 and 1264

Related Least Common Multiples of 1264

Related Least Common Multiples of 1268

Frequently Asked Questions on LCM of 1264 and 1268

1. What is the LCM of 1264 and 1268?

Answer: LCM of 1264 and 1268 is 400688.

2. What are the Factors of 1264?

Answer: Factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264. There are 10 integers that are factors of 1264. The greatest factor of 1264 is 1264.

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 1264 and 1268?

Answer:

Least Common Multiple of 1264 and 1268 = 400688

Step 1: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

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 = 400688 = 2 x 2 x 2 x 2 x 79 x 317

Step 4: Therefore, the least common multiple of 1264 and 1268 is 400688.