Least Common Multiple of 1252 and 1258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1252 and 1258 the smallest integer that is 787508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1252 and 1258 is 787508.

LCM(1252,1258) = 787508

LCM of 1252 and 1258

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

LCM of:
and

Least Common Multiple of 1252 and 1258

LCM of 1252 and 1258 is 787508

Least common multiple can be found by multiplying the highest exponent prime factors of 1252 and 1258. First we will calculate the prime factors of 1252 and 1258.

Prime Factorization of 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1252 and 1258.

LCM(1252,1258) = 22×171×371×3131
LCM(1252,1258) = 787508

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1, 2, 4, 313, 626, 1252

Factors of 1258

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

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

Least Common Multiple of 1252 and 1258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1252 and 1258, than apply into the LCM equation.

GCF(1252,1258) = 2
LCM(1252,1258) = ( 1252 × 1258) / 2
LCM(1252,1258) = 1575016 / 2
LCM(1252,1258) = 787508

Properties of LCM 1252 and 1258

(i) The LCM of 1258 and 1252 is associative

LCM of 1252 and 1258 = LCM of 1258 and 1252

Related Least Common Multiples of 1252

Related Least Common Multiples of 1258

Frequently Asked Questions on LCM of 1252 and 1258

1. What is the LCM of 1252 and 1258?

Answer: LCM of 1252 and 1258 is 787508.

2. What are the Factors of 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

3. 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.

4. How to Find the LCM of 1252 and 1258?

Answer:

Least Common Multiple of 1252 and 1258 = 787508

Step 1: Find the prime factorization of 1252

1252 = 2 x 2 x 313

Step 2: Find the prime factorization of 1258

1258 = 2 x 17 x 37

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

LCM = 787508 = 2 x 2 x 17 x 37 x 313

Step 4: Therefore, the least common multiple of 1252 and 1258 is 787508.