Least Common Multiple of 6254 and 6260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6254 and 6260 the smallest integer that is 19575020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6254 and 6260 is 19575020.

LCM(6254,6260) = 19575020

LCM of 6254 and 6260

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

LCM of:
and

Least Common Multiple of 6254 and 6260

LCM of 6254 and 6260 is 19575020

Least common multiple can be found by multiplying the highest exponent prime factors of 6254 and 6260. First we will calculate the prime factors of 6254 and 6260.

Prime Factorization of 6254


2 6254
53 3127
59 59
1

Prime factors of 6254 are 2, 53,59. Prime factorization of 6254 in exponential form is:

6254 = 21×531×591

Prime Factorization of 6260


2 6260
2 3130
5 1565
313 313
1

Prime factors of 6260 are 2, 5,313. Prime factorization of 6260 in exponential form is:

6260 = 22×51×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 6254 and 6260.

LCM(6254,6260) = 22×51×531×591×3131
LCM(6254,6260) = 19575020

Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1, 2, 53, 59, 106, 118, 3127, 6254

Factors of 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260

Least Common Multiple of 6254 and 6260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6254 and 6260, than apply into the LCM equation.

GCF(6254,6260) = 2
LCM(6254,6260) = ( 6254 × 6260) / 2
LCM(6254,6260) = 39150040 / 2
LCM(6254,6260) = 19575020

Properties of LCM 6254 and 6260

(i) The LCM of 6260 and 6254 is associative

LCM of 6254 and 6260 = LCM of 6260 and 6254

Related Least Common Multiples of 6254

Related Least Common Multiples of 6260

Frequently Asked Questions on LCM of 6254 and 6260

1. What is the LCM of 6254 and 6260?

Answer: LCM of 6254 and 6260 is 19575020.

2. What are the Factors of 6254?

Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.

3. What are the Factors of 6260?

Answer: Factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260. There are 12 integers that are factors of 6260. The greatest factor of 6260 is 6260.

4. How to Find the LCM of 6254 and 6260?

Answer:

Least Common Multiple of 6254 and 6260 = 19575020

Step 1: Find the prime factorization of 6254

6254 = 2 x 53 x 59

Step 2: Find the prime factorization of 6260

6260 = 2 x 2 x 5 x 313

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

LCM = 19575020 = 2 x 2 x 5 x 53 x 59 x 313

Step 4: Therefore, the least common multiple of 6254 and 6260 is 19575020.