Least Common Multiple of 6266 and 6274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6266 and 6274 the smallest integer that is 19656442 that is divisible by both numbers.

Least Common Multiple (LCM) of 6266 and 6274 is 19656442.

LCM(6266,6274) = 19656442

LCM of 6266 and 6274

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

LCM of:
and

Least Common Multiple of 6266 and 6274

LCM of 6266 and 6274 is 19656442

Least common multiple can be found by multiplying the highest exponent prime factors of 6266 and 6274. First we will calculate the prime factors of 6266 and 6274.

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

Prime Factorization of 6274


2 6274
3137 3137
1

Prime factors of 6274 are 2,3137. Prime factorization of 6274 in exponential form is:

6274 = 21×31371

Now multiplying the highest exponent prime factors to calculate the LCM of 6266 and 6274.

LCM(6266,6274) = 21×131×2411×31371
LCM(6266,6274) = 19656442

Factors of 6266

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

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

Factors of 6274

List of positive integer factors of 6274 that divides 6274 without a remainder.

1, 2, 3137, 6274

Least Common Multiple of 6266 and 6274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6266 and 6274, than apply into the LCM equation.

GCF(6266,6274) = 2
LCM(6266,6274) = ( 6266 × 6274) / 2
LCM(6266,6274) = 39312884 / 2
LCM(6266,6274) = 19656442

Properties of LCM 6266 and 6274

(i) The LCM of 6274 and 6266 is associative

LCM of 6266 and 6274 = LCM of 6274 and 6266

Related Least Common Multiples of 6266

Related Least Common Multiples of 6274

Frequently Asked Questions on LCM of 6266 and 6274

1. What is the LCM of 6266 and 6274?

Answer: LCM of 6266 and 6274 is 19656442.

2. 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.

3. What are the Factors of 6274?

Answer: Factors of 6274 are 1, 2, 3137, 6274. There are 4 integers that are factors of 6274. The greatest factor of 6274 is 6274.

4. How to Find the LCM of 6266 and 6274?

Answer:

Least Common Multiple of 6266 and 6274 = 19656442

Step 1: Find the prime factorization of 6266

6266 = 2 x 13 x 241

Step 2: Find the prime factorization of 6274

6274 = 2 x 3137

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

LCM = 19656442 = 2 x 13 x 241 x 3137

Step 4: Therefore, the least common multiple of 6266 and 6274 is 19656442.