Least Common Multiple of 15258 and 15265

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

• Least Common Multiple of 15258 and 15265 by Prime method
• Least Common Multiple of 15258 and 15265 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15258 and 15265. First we will calculate the prime factors of 15258 and 15265.

Prime Factorization of 15258

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

15258 = 2¹×3¹×2543¹

Prime Factorization of 15265

Prime factors of 15265 are 5, 43,71. Prime factorization of 15265 in exponential form is:

15265 = 5¹×43¹×71¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15258 and 15265.

LCM(15258,15265) = 2¹×3¹×5¹×43¹×71¹×2543¹
LCM(15258,15265) = 232913370

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 15265

List of positive integer factors of 15265 that divides 15265 without a remainder.

1, 5, 43, 71, 215, 355, 3053, 15265

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15258 and 15265, than apply into the LCM equation.

GCF(15258,15265) = 1
LCM(15258,15265) = ( 15258 × 15265) / 1
LCM(15258,15265) = 232913370 / 1
LCM(15258,15265) = 232913370

(i) The LCM of 15265 and 15258 is associative

LCM of 15258 and 15265 = LCM of 15265 and 15258

1. What is the LCM of 15258 and 15265?

Answer: LCM of 15258 and 15265 is 232913370.

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 15265?

Answer: Factors of 15265 are 1, 5, 43, 71, 215, 355, 3053, 15265. There are 8 integers that are factors of 15265. The greatest factor of 15265 is 15265.

4. How to Find the LCM of 15258 and 15265?

Answer:

Least Common Multiple of 15258 and 15265 = 232913370

Step 1: Find the prime factorization of 15258

15258 = 2 x 3 x 2543

Step 2: Find the prime factorization of 15265

15265 = 5 x 43 x 71

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

LCM = 232913370 = 2 x 3 x 5 x 43 x 71 x 2543

Step 4: Therefore, the least common multiple of 15258 and 15265 is 232913370.