Least Common Multiple of 3257 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 3257 and 3262 the smallest integer that is 10624334 that is divisible by both numbers.

Least Common Multiple (LCM) of 3257 and 3262 is 10624334.

LCM(3257,3262) = 10624334

LCM of 3257 and 3262

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

LCM of:
and

Least Common Multiple of 3257 and 3262

LCM of 3257 and 3262 is 10624334

Least common multiple can be found by multiplying the highest exponent prime factors of 3257 and 3262. First we will calculate the prime factors of 3257 and 3262.

Prime Factorization of 3257


3257 3257
1

Prime factors of 3257 are 3257. Prime factorization of 3257 in exponential form is:

3257 = 32571

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 3257 and 3262.

LCM(3257,3262) = 21×71×2331×32571
LCM(3257,3262) = 10624334

Factors of 3257

List of positive integer factors of 3257 that divides 3257 without a remainder.

1, 3257

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 3257 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 3257 and 3262, than apply into the LCM equation.

GCF(3257,3262) = 1
LCM(3257,3262) = ( 3257 × 3262) / 1
LCM(3257,3262) = 10624334 / 1
LCM(3257,3262) = 10624334

Properties of LCM 3257 and 3262

(i) The LCM of 3262 and 3257 is associative

LCM of 3257 and 3262 = LCM of 3262 and 3257

Related Least Common Multiples of 3257

Related Least Common Multiples of 3262

Frequently Asked Questions on LCM of 3257 and 3262

1. What is the LCM of 3257 and 3262?

Answer: LCM of 3257 and 3262 is 10624334.

2. What are the Factors of 3257?

Answer: Factors of 3257 are 1, 3257. There are 2 integers that are factors of 3257. The greatest factor of 3257 is 3257.

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 3257 and 3262?

Answer:

Least Common Multiple of 3257 and 3262 = 10624334

Step 1: Find the prime factorization of 3257

3257 = 3257

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 = 10624334 = 2 x 7 x 233 x 3257

Step 4: Therefore, the least common multiple of 3257 and 3262 is 10624334.