Least Common Multiple of 6252 and 6256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6252 and 6256 the smallest integer that is 9778128 that is divisible by both numbers.

Least Common Multiple (LCM) of 6252 and 6256 is 9778128.

LCM(6252,6256) = 9778128

LCM of 6252 and 6256

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

LCM of:
and

Least Common Multiple of 6252 and 6256

LCM of 6252 and 6256 is 9778128

Least common multiple can be found by multiplying the highest exponent prime factors of 6252 and 6256. First we will calculate the prime factors of 6252 and 6256.

Prime Factorization of 6252


2 6252
2 3126
3 1563
521 521
1

Prime factors of 6252 are 2, 3,521. Prime factorization of 6252 in exponential form is:

6252 = 22×31×5211

Prime Factorization of 6256


2 6256
2 3128
2 1564
2 782
17 391
23 23
1

Prime factors of 6256 are 2, 17,23. Prime factorization of 6256 in exponential form is:

6256 = 24×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6252 and 6256.

LCM(6252,6256) = 24×31×171×231×5211
LCM(6252,6256) = 9778128

Factors of 6252

List of positive integer factors of 6252 that divides 6252 without a remainder.

1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252

Factors of 6256

List of positive integer factors of 6256 that divides 6256 without a remainder.

1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256

Least Common Multiple of 6252 and 6256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6252 and 6256, than apply into the LCM equation.

GCF(6252,6256) = 4
LCM(6252,6256) = ( 6252 × 6256) / 4
LCM(6252,6256) = 39112512 / 4
LCM(6252,6256) = 9778128

Properties of LCM 6252 and 6256

(i) The LCM of 6256 and 6252 is associative

LCM of 6252 and 6256 = LCM of 6256 and 6252

Related Least Common Multiples of 6252

Related Least Common Multiples of 6256

Frequently Asked Questions on LCM of 6252 and 6256

1. What is the LCM of 6252 and 6256?

Answer: LCM of 6252 and 6256 is 9778128.

2. What are the Factors of 6252?

Answer: Factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252. There are 12 integers that are factors of 6252. The greatest factor of 6252 is 6252.

3. What are the Factors of 6256?

Answer: Factors of 6256 are 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256. There are 20 integers that are factors of 6256. The greatest factor of 6256 is 6256.

4. How to Find the LCM of 6252 and 6256?

Answer:

Least Common Multiple of 6252 and 6256 = 9778128

Step 1: Find the prime factorization of 6252

6252 = 2 x 2 x 3 x 521

Step 2: Find the prime factorization of 6256

6256 = 2 x 2 x 2 x 2 x 17 x 23

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

LCM = 9778128 = 2 x 2 x 2 x 2 x 3 x 17 x 23 x 521

Step 4: Therefore, the least common multiple of 6252 and 6256 is 9778128.