Least Common Multiple of 6255 and 6261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6255 and 6261 the smallest integer that is 13054185 that is divisible by both numbers.

Least Common Multiple (LCM) of 6255 and 6261 is 13054185.

LCM(6255,6261) = 13054185

LCM of 6255 and 6261

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

LCM of:
and

Least Common Multiple of 6255 and 6261

LCM of 6255 and 6261 is 13054185

Least common multiple can be found by multiplying the highest exponent prime factors of 6255 and 6261. First we will calculate the prime factors of 6255 and 6261.

Prime Factorization of 6255


3 6255
3 2085
5 695
139 139
1

Prime factors of 6255 are 3, 5,139. Prime factorization of 6255 in exponential form is:

6255 = 32×51×1391

Prime Factorization of 6261


3 6261
2087 2087
1

Prime factors of 6261 are 3,2087. Prime factorization of 6261 in exponential form is:

6261 = 31×20871

Now multiplying the highest exponent prime factors to calculate the LCM of 6255 and 6261.

LCM(6255,6261) = 32×51×1391×20871
LCM(6255,6261) = 13054185

Factors of 6255

List of positive integer factors of 6255 that divides 6255 without a remainder.

1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255

Factors of 6261

List of positive integer factors of 6261 that divides 6261 without a remainder.

1, 3, 2087, 6261

Least Common Multiple of 6255 and 6261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6255 and 6261, than apply into the LCM equation.

GCF(6255,6261) = 3
LCM(6255,6261) = ( 6255 × 6261) / 3
LCM(6255,6261) = 39162555 / 3
LCM(6255,6261) = 13054185

Properties of LCM 6255 and 6261

(i) The LCM of 6261 and 6255 is associative

LCM of 6255 and 6261 = LCM of 6261 and 6255

Related Least Common Multiples of 6255

Related Least Common Multiples of 6261

Frequently Asked Questions on LCM of 6255 and 6261

1. What is the LCM of 6255 and 6261?

Answer: LCM of 6255 and 6261 is 13054185.

2. What are the Factors of 6255?

Answer: Factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255. There are 12 integers that are factors of 6255. The greatest factor of 6255 is 6255.

3. What are the Factors of 6261?

Answer: Factors of 6261 are 1, 3, 2087, 6261. There are 4 integers that are factors of 6261. The greatest factor of 6261 is 6261.

4. How to Find the LCM of 6255 and 6261?

Answer:

Least Common Multiple of 6255 and 6261 = 13054185

Step 1: Find the prime factorization of 6255

6255 = 3 x 3 x 5 x 139

Step 2: Find the prime factorization of 6261

6261 = 3 x 2087

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

LCM = 13054185 = 3 x 3 x 5 x 139 x 2087

Step 4: Therefore, the least common multiple of 6255 and 6261 is 13054185.