Least Common Multiple of 1258 and 1263

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 1263 the smallest integer that is 1588854 that is divisible by both numbers.

Least Common Multiple (LCM) of 1258 and 1263 is 1588854.

LCM(1258,1263) = 1588854

LCM of 1258 and 1263

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

LCM of:
and

Least Common Multiple of 1258 and 1263

LCM of 1258 and 1263 is 1588854

Least common multiple can be found by multiplying the highest exponent prime factors of 1258 and 1263. First we will calculate the prime factors of 1258 and 1263.

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 1263


3 1263
421 421
1

Prime factors of 1263 are 3,421. Prime factorization of 1263 in exponential form is:

1263 = 31×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 1258 and 1263.

LCM(1258,1263) = 21×31×171×371×4211
LCM(1258,1263) = 1588854

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 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1, 3, 421, 1263

Least Common Multiple of 1258 and 1263 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 1263, than apply into the LCM equation.

GCF(1258,1263) = 1
LCM(1258,1263) = ( 1258 × 1263) / 1
LCM(1258,1263) = 1588854 / 1
LCM(1258,1263) = 1588854

Properties of LCM 1258 and 1263

(i) The LCM of 1263 and 1258 is associative

LCM of 1258 and 1263 = LCM of 1263 and 1258

Related Least Common Multiples of 1258

Related Least Common Multiples of 1263

Frequently Asked Questions on LCM of 1258 and 1263

1. What is the LCM of 1258 and 1263?

Answer: LCM of 1258 and 1263 is 1588854.

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 1263?

Answer: Factors of 1263 are 1, 3, 421, 1263. There are 4 integers that are factors of 1263. The greatest factor of 1263 is 1263.

4. How to Find the LCM of 1258 and 1263?

Answer:

Least Common Multiple of 1258 and 1263 = 1588854

Step 1: Find the prime factorization of 1258

1258 = 2 x 17 x 37

Step 2: Find the prime factorization of 1263

1263 = 3 x 421

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

LCM = 1588854 = 2 x 3 x 17 x 37 x 421

Step 4: Therefore, the least common multiple of 1258 and 1263 is 1588854.