Least Common Multiple of 6267 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 6267 and 6274 the smallest integer that is 39319158 that is divisible by both numbers.

Least Common Multiple (LCM) of 6267 and 6274 is 39319158.

LCM(6267,6274) = 39319158

LCM of 6267 and 6274

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

LCM of:
and

Least Common Multiple of 6267 and 6274

LCM of 6267 and 6274 is 39319158

Least common multiple can be found by multiplying the highest exponent prime factors of 6267 and 6274. First we will calculate the prime factors of 6267 and 6274.

Prime Factorization of 6267


3 6267
2089 2089
1

Prime factors of 6267 are 3,2089. Prime factorization of 6267 in exponential form is:

6267 = 31×20891

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 6267 and 6274.

LCM(6267,6274) = 21×31×20891×31371
LCM(6267,6274) = 39319158

Factors of 6267

List of positive integer factors of 6267 that divides 6267 without a remainder.

1, 3, 2089, 6267

Factors of 6274

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

1, 2, 3137, 6274

Least Common Multiple of 6267 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 6267 and 6274, than apply into the LCM equation.

GCF(6267,6274) = 1
LCM(6267,6274) = ( 6267 × 6274) / 1
LCM(6267,6274) = 39319158 / 1
LCM(6267,6274) = 39319158

Properties of LCM 6267 and 6274

(i) The LCM of 6274 and 6267 is associative

LCM of 6267 and 6274 = LCM of 6274 and 6267

Related Least Common Multiples of 6267

Related Least Common Multiples of 6274

Frequently Asked Questions on LCM of 6267 and 6274

1. What is the LCM of 6267 and 6274?

Answer: LCM of 6267 and 6274 is 39319158.

2. What are the Factors of 6267?

Answer: Factors of 6267 are 1, 3, 2089, 6267. There are 4 integers that are factors of 6267. The greatest factor of 6267 is 6267.

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 6267 and 6274?

Answer:

Least Common Multiple of 6267 and 6274 = 39319158

Step 1: Find the prime factorization of 6267

6267 = 3 x 2089

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 = 39319158 = 2 x 3 x 2089 x 3137

Step 4: Therefore, the least common multiple of 6267 and 6274 is 39319158.