Least Common Multiple of 6274 and 6280

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 6280 the smallest integer that is 19700360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6274 and 6280 is 19700360.

LCM(6274,6280) = 19700360

LCM of 6274 and 6280

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

LCM of:
and

Least Common Multiple of 6274 and 6280

LCM of 6274 and 6280 is 19700360

Least common multiple can be found by multiplying the highest exponent prime factors of 6274 and 6280. First we will calculate the prime factors of 6274 and 6280.

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 6280


2 6280
2 3140
2 1570
5 785
157 157
1

Prime factors of 6280 are 2, 5,157. Prime factorization of 6280 in exponential form is:

6280 = 23×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6274 and 6280.

LCM(6274,6280) = 23×51×1571×31371
LCM(6274,6280) = 19700360

Factors of 6274

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

1, 2, 3137, 6274

Factors of 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280

Least Common Multiple of 6274 and 6280 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 6280, than apply into the LCM equation.

GCF(6274,6280) = 2
LCM(6274,6280) = ( 6274 × 6280) / 2
LCM(6274,6280) = 39400720 / 2
LCM(6274,6280) = 19700360

Properties of LCM 6274 and 6280

(i) The LCM of 6280 and 6274 is associative

LCM of 6274 and 6280 = LCM of 6280 and 6274

Related Least Common Multiples of 6274

Related Least Common Multiples of 6280

Frequently Asked Questions on LCM of 6274 and 6280

1. What is the LCM of 6274 and 6280?

Answer: LCM of 6274 and 6280 is 19700360.

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 6280?

Answer: Factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280. There are 16 integers that are factors of 6280. The greatest factor of 6280 is 6280.

4. How to Find the LCM of 6274 and 6280?

Answer:

Least Common Multiple of 6274 and 6280 = 19700360

Step 1: Find the prime factorization of 6274

6274 = 2 x 3137

Step 2: Find the prime factorization of 6280

6280 = 2 x 2 x 2 x 5 x 157

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

LCM = 19700360 = 2 x 2 x 2 x 5 x 157 x 3137

Step 4: Therefore, the least common multiple of 6274 and 6280 is 19700360.