Least Common Multiple of 6258 and 6265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6258 and 6265 the smallest integer that is 5600910 that is divisible by both numbers.

Least Common Multiple (LCM) of 6258 and 6265 is 5600910.

LCM(6258,6265) = 5600910

LCM of 6258 and 6265

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

LCM of:
and

Least Common Multiple of 6258 and 6265

LCM of 6258 and 6265 is 5600910

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6265. First we will calculate the prime factors of 6258 and 6265.

Prime Factorization of 6258


2 6258
3 3129
7 1043
149 149
1

Prime factors of 6258 are 2, 3, 7,149. Prime factorization of 6258 in exponential form is:

6258 = 21×31×71×1491

Prime Factorization of 6265


5 6265
7 1253
179 179
1

Prime factors of 6265 are 5, 7,179. Prime factorization of 6265 in exponential form is:

6265 = 51×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6265.

LCM(6258,6265) = 21×31×51×71×1491×1791
LCM(6258,6265) = 5600910

Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258

Factors of 6265

List of positive integer factors of 6265 that divides 6265 without a remainder.

1, 5, 7, 35, 179, 895, 1253, 6265

Least Common Multiple of 6258 and 6265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6258 and 6265, than apply into the LCM equation.

GCF(6258,6265) = 7
LCM(6258,6265) = ( 6258 × 6265) / 7
LCM(6258,6265) = 39206370 / 7
LCM(6258,6265) = 5600910

Properties of LCM 6258 and 6265

(i) The LCM of 6265 and 6258 is associative

LCM of 6258 and 6265 = LCM of 6265 and 6258

Related Least Common Multiples of 6258

Related Least Common Multiples of 6265

Frequently Asked Questions on LCM of 6258 and 6265

1. What is the LCM of 6258 and 6265?

Answer: LCM of 6258 and 6265 is 5600910.

2. What are the Factors of 6258?

Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.

3. What are the Factors of 6265?

Answer: Factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265. There are 8 integers that are factors of 6265. The greatest factor of 6265 is 6265.

4. How to Find the LCM of 6258 and 6265?

Answer:

Least Common Multiple of 6258 and 6265 = 5600910

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

Step 2: Find the prime factorization of 6265

6265 = 5 x 7 x 179

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

LCM = 5600910 = 2 x 3 x 5 x 7 x 149 x 179

Step 4: Therefore, the least common multiple of 6258 and 6265 is 5600910.