Least Common Multiple of 6274 and 6278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6274 and 6278 the smallest integer that is 19694086 that is divisible by both numbers.

Least Common Multiple (LCM) of 6274 and 6278 is 19694086.

LCM(6274,6278) = 19694086

LCM of 6274 and 6278

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

LCM of:
and

Least Common Multiple of 6274 and 6278

LCM of 6274 and 6278 is 19694086

Least common multiple can be found by multiplying the highest exponent prime factors of 6274 and 6278. First we will calculate the prime factors of 6274 and 6278.

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

Prime Factorization of 6278


2 6278
43 3139
73 73
1

Prime factors of 6278 are 2, 43,73. Prime factorization of 6278 in exponential form is:

6278 = 21×431×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6274 and 6278.

LCM(6274,6278) = 21×431×731×31371
LCM(6274,6278) = 19694086

Factors of 6274

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

1, 2, 3137, 6274

Factors of 6278

List of positive integer factors of 6278 that divides 6278 without a remainder.

1, 2, 43, 73, 86, 146, 3139, 6278

Least Common Multiple of 6274 and 6278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6274 and 6278, than apply into the LCM equation.

GCF(6274,6278) = 2
LCM(6274,6278) = ( 6274 × 6278) / 2
LCM(6274,6278) = 39388172 / 2
LCM(6274,6278) = 19694086

Properties of LCM 6274 and 6278

(i) The LCM of 6278 and 6274 is associative

LCM of 6274 and 6278 = LCM of 6278 and 6274

Related Least Common Multiples of 6274

Related Least Common Multiples of 6278

Frequently Asked Questions on LCM of 6274 and 6278

1. What is the LCM of 6274 and 6278?

Answer: LCM of 6274 and 6278 is 19694086.

2. 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.

3. What are the Factors of 6278?

Answer: Factors of 6278 are 1, 2, 43, 73, 86, 146, 3139, 6278. There are 8 integers that are factors of 6278. The greatest factor of 6278 is 6278.

4. How to Find the LCM of 6274 and 6278?

Answer:

Least Common Multiple of 6274 and 6278 = 19694086

Step 1: Find the prime factorization of 6274

6274 = 2 x 3137

Step 2: Find the prime factorization of 6278

6278 = 2 x 43 x 73

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

LCM = 19694086 = 2 x 43 x 73 x 3137

Step 4: Therefore, the least common multiple of 6274 and 6278 is 19694086.