Least Common Multiple of 1253 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 1253 and 1258 the smallest integer that is 1576274 that is divisible by both numbers.

Least Common Multiple (LCM) of 1253 and 1258 is 1576274.

LCM(1253,1258) = 1576274

LCM of 1253 and 1258

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

LCM of:
and

Least Common Multiple of 1253 and 1258

LCM of 1253 and 1258 is 1576274

Least common multiple can be found by multiplying the highest exponent prime factors of 1253 and 1258. First we will calculate the prime factors of 1253 and 1258.

Prime Factorization of 1253


7 1253
179 179
1

Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:

1253 = 71×1791

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 1253 and 1258.

LCM(1253,1258) = 21×71×171×371×1791
LCM(1253,1258) = 1576274

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1, 7, 179, 1253

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 1253 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 1253 and 1258, than apply into the LCM equation.

GCF(1253,1258) = 1
LCM(1253,1258) = ( 1253 × 1258) / 1
LCM(1253,1258) = 1576274 / 1
LCM(1253,1258) = 1576274

Properties of LCM 1253 and 1258

(i) The LCM of 1258 and 1253 is associative

LCM of 1253 and 1258 = LCM of 1258 and 1253

Related Least Common Multiples of 1253

Related Least Common Multiples of 1258

Frequently Asked Questions on LCM of 1253 and 1258

1. What is the LCM of 1253 and 1258?

Answer: LCM of 1253 and 1258 is 1576274.

2. What are the Factors of 1253?

Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.

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 1253 and 1258?

Answer:

Least Common Multiple of 1253 and 1258 = 1576274

Step 1: Find the prime factorization of 1253

1253 = 7 x 179

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 = 1576274 = 2 x 7 x 17 x 37 x 179

Step 4: Therefore, the least common multiple of 1253 and 1258 is 1576274.