Least Common Multiple of 1258 and 1264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1258 and 1264 the smallest integer that is 795056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1258 and 1264 is 795056.

LCM(1258,1264) = 795056

LCM of 1258 and 1264

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

LCM of:
and

Least Common Multiple of 1258 and 1264

LCM of 1258 and 1264 is 795056

Least common multiple can be found by multiplying the highest exponent prime factors of 1258 and 1264. First we will calculate the prime factors of 1258 and 1264.

Prime Factorization of 1258


2 1258
17 629
37 37
1

Prime factors of 1258 are 2, 17,37. Prime factorization of 1258 in exponential form is:

1258 = 21×171×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1258 and 1264.

LCM(1258,1264) = 24×171×371×791
LCM(1258,1264) = 795056

Factors of 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1, 2, 17, 34, 37, 74, 629, 1258

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

Least Common Multiple of 1258 and 1264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1258 and 1264, than apply into the LCM equation.

GCF(1258,1264) = 2
LCM(1258,1264) = ( 1258 × 1264) / 2
LCM(1258,1264) = 1590112 / 2
LCM(1258,1264) = 795056

Properties of LCM 1258 and 1264

(i) The LCM of 1264 and 1258 is associative

LCM of 1258 and 1264 = LCM of 1264 and 1258

Related Least Common Multiples of 1258

Related Least Common Multiples of 1264

Frequently Asked Questions on LCM of 1258 and 1264

1. What is the LCM of 1258 and 1264?

Answer: LCM of 1258 and 1264 is 795056.

2. What are the Factors of 1258?

Answer: Factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258. There are 8 integers that are factors of 1258. The greatest factor of 1258 is 1258.

3. 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.

4. How to Find the LCM of 1258 and 1264?

Answer:

Least Common Multiple of 1258 and 1264 = 795056

Step 1: Find the prime factorization of 1258

1258 = 2 x 17 x 37

Step 2: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

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

LCM = 795056 = 2 x 2 x 2 x 2 x 17 x 37 x 79

Step 4: Therefore, the least common multiple of 1258 and 1264 is 795056.