Least Common Multiple of 6258 and 6266

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 6266 the smallest integer that is 19606314 that is divisible by both numbers.

Least Common Multiple (LCM) of 6258 and 6266 is 19606314.

LCM(6258,6266) = 19606314

LCM of 6258 and 6266

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

LCM of:
and

Least Common Multiple of 6258 and 6266

LCM of 6258 and 6266 is 19606314

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6266. First we will calculate the prime factors of 6258 and 6266.

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 6266


2 6266
13 3133
241 241
1

Prime factors of 6266 are 2, 13,241. Prime factorization of 6266 in exponential form is:

6266 = 21×131×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6266.

LCM(6258,6266) = 21×31×71×131×1491×2411
LCM(6258,6266) = 19606314

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 6266

List of positive integer factors of 6266 that divides 6266 without a remainder.

1, 2, 13, 26, 241, 482, 3133, 6266

Least Common Multiple of 6258 and 6266 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 6266, than apply into the LCM equation.

GCF(6258,6266) = 2
LCM(6258,6266) = ( 6258 × 6266) / 2
LCM(6258,6266) = 39212628 / 2
LCM(6258,6266) = 19606314

Properties of LCM 6258 and 6266

(i) The LCM of 6266 and 6258 is associative

LCM of 6258 and 6266 = LCM of 6266 and 6258

Related Least Common Multiples of 6258

Related Least Common Multiples of 6266

Frequently Asked Questions on LCM of 6258 and 6266

1. What is the LCM of 6258 and 6266?

Answer: LCM of 6258 and 6266 is 19606314.

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 6266?

Answer: Factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266. There are 8 integers that are factors of 6266. The greatest factor of 6266 is 6266.

4. How to Find the LCM of 6258 and 6266?

Answer:

Least Common Multiple of 6258 and 6266 = 19606314

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

Step 2: Find the prime factorization of 6266

6266 = 2 x 13 x 241

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

LCM = 19606314 = 2 x 3 x 7 x 13 x 149 x 241

Step 4: Therefore, the least common multiple of 6258 and 6266 is 19606314.