Least Common Multiple of 3255 and 3262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3255 and 3262 the smallest integer that is 1516830 that is divisible by both numbers.

Least Common Multiple (LCM) of 3255 and 3262 is 1516830.

LCM(3255,3262) = 1516830

LCM of 3255 and 3262

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

LCM of:
and

Least Common Multiple of 3255 and 3262

LCM of 3255 and 3262 is 1516830

Least common multiple can be found by multiplying the highest exponent prime factors of 3255 and 3262. First we will calculate the prime factors of 3255 and 3262.

Prime Factorization of 3255


3 3255
5 1085
7 217
31 31
1

Prime factors of 3255 are 3, 5, 7,31. Prime factorization of 3255 in exponential form is:

3255 = 31×51×71×311

Prime Factorization of 3262


2 3262
7 1631
233 233
1

Prime factors of 3262 are 2, 7,233. Prime factorization of 3262 in exponential form is:

3262 = 21×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3255 and 3262.

LCM(3255,3262) = 21×31×51×71×311×2331
LCM(3255,3262) = 1516830

Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255

Factors of 3262

List of positive integer factors of 3262 that divides 3262 without a remainder.

1, 2, 7, 14, 233, 466, 1631, 3262

Least Common Multiple of 3255 and 3262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3255 and 3262, than apply into the LCM equation.

GCF(3255,3262) = 7
LCM(3255,3262) = ( 3255 × 3262) / 7
LCM(3255,3262) = 10617810 / 7
LCM(3255,3262) = 1516830

Properties of LCM 3255 and 3262

(i) The LCM of 3262 and 3255 is associative

LCM of 3255 and 3262 = LCM of 3262 and 3255

Related Least Common Multiples of 3255

Related Least Common Multiples of 3262

Frequently Asked Questions on LCM of 3255 and 3262

1. What is the LCM of 3255 and 3262?

Answer: LCM of 3255 and 3262 is 1516830.

2. What are the Factors of 3255?

Answer: Factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255. There are 16 integers that are factors of 3255. The greatest factor of 3255 is 3255.

3. What are the Factors of 3262?

Answer: Factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262. There are 8 integers that are factors of 3262. The greatest factor of 3262 is 3262.

4. How to Find the LCM of 3255 and 3262?

Answer:

Least Common Multiple of 3255 and 3262 = 1516830

Step 1: Find the prime factorization of 3255

3255 = 3 x 5 x 7 x 31

Step 2: Find the prime factorization of 3262

3262 = 2 x 7 x 233

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

LCM = 1516830 = 2 x 3 x 5 x 7 x 31 x 233

Step 4: Therefore, the least common multiple of 3255 and 3262 is 1516830.