Least Common Multiple of 15258 and 15262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15258 and 15262 the smallest integer that is 116433798 that is divisible by both numbers.

Least Common Multiple (LCM) of 15258 and 15262 is 116433798.

LCM(15258,15262) = 116433798

LCM of 15258 and 15262

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

LCM of:
and

Least Common Multiple of 15258 and 15262

LCM of 15258 and 15262 is 116433798

Least common multiple can be found by multiplying the highest exponent prime factors of 15258 and 15262. First we will calculate the prime factors of 15258 and 15262.

Prime Factorization of 15258


2 15258
3 7629
2543 2543
1

Prime factors of 15258 are 2, 3,2543. Prime factorization of 15258 in exponential form is:

15258 = 21×31×25431

Prime Factorization of 15262


2 15262
13 7631
587 587
1

Prime factors of 15262 are 2, 13,587. Prime factorization of 15262 in exponential form is:

15262 = 21×131×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 15258 and 15262.

LCM(15258,15262) = 21×31×131×5871×25431
LCM(15258,15262) = 116433798

Factors of 15258

List of positive integer factors of 15258 that divides 15258 without a remainder.

1, 2, 3, 6, 2543, 5086, 7629, 15258

Factors of 15262

List of positive integer factors of 15262 that divides 15262 without a remainder.

1, 2, 13, 26, 587, 1174, 7631, 15262

Least Common Multiple of 15258 and 15262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15258 and 15262, than apply into the LCM equation.

GCF(15258,15262) = 2
LCM(15258,15262) = ( 15258 × 15262) / 2
LCM(15258,15262) = 232867596 / 2
LCM(15258,15262) = 116433798

Properties of LCM 15258 and 15262

(i) The LCM of 15262 and 15258 is associative

LCM of 15258 and 15262 = LCM of 15262 and 15258

Related Least Common Multiples of 15258

Related Least Common Multiples of 15262

Frequently Asked Questions on LCM of 15258 and 15262

1. What is the LCM of 15258 and 15262?

Answer: LCM of 15258 and 15262 is 116433798.

2. What are the Factors of 15258?

Answer: Factors of 15258 are 1, 2, 3, 6, 2543, 5086, 7629, 15258. There are 8 integers that are factors of 15258. The greatest factor of 15258 is 15258.

3. What are the Factors of 15262?

Answer: Factors of 15262 are 1, 2, 13, 26, 587, 1174, 7631, 15262. There are 8 integers that are factors of 15262. The greatest factor of 15262 is 15262.

4. How to Find the LCM of 15258 and 15262?

Answer:

Least Common Multiple of 15258 and 15262 = 116433798

Step 1: Find the prime factorization of 15258

15258 = 2 x 3 x 2543

Step 2: Find the prime factorization of 15262

15262 = 2 x 13 x 587

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

LCM = 116433798 = 2 x 3 x 13 x 587 x 2543

Step 4: Therefore, the least common multiple of 15258 and 15262 is 116433798.