Least Common Multiple of 3245 and 3253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3245 and 3253 the smallest integer that is 10555985 that is divisible by both numbers.

Least Common Multiple (LCM) of 3245 and 3253 is 10555985.

LCM(3245,3253) = 10555985

LCM of 3245 and 3253

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

LCM of:
and

Least Common Multiple of 3245 and 3253

LCM of 3245 and 3253 is 10555985

Least common multiple can be found by multiplying the highest exponent prime factors of 3245 and 3253. First we will calculate the prime factors of 3245 and 3253.

Prime Factorization of 3245


5 3245
11 649
59 59
1

Prime factors of 3245 are 5, 11,59. Prime factorization of 3245 in exponential form is:

3245 = 51×111×591

Prime Factorization of 3253


3253 3253
1

Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:

3253 = 32531

Now multiplying the highest exponent prime factors to calculate the LCM of 3245 and 3253.

LCM(3245,3253) = 51×111×591×32531
LCM(3245,3253) = 10555985

Factors of 3245

List of positive integer factors of 3245 that divides 3245 without a remainder.

1, 5, 11, 55, 59, 295, 649, 3245

Factors of 3253

List of positive integer factors of 3253 that divides 3253 without a remainder.

1, 3253

Least Common Multiple of 3245 and 3253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3245 and 3253, than apply into the LCM equation.

GCF(3245,3253) = 1
LCM(3245,3253) = ( 3245 × 3253) / 1
LCM(3245,3253) = 10555985 / 1
LCM(3245,3253) = 10555985

Properties of LCM 3245 and 3253

(i) The LCM of 3253 and 3245 is associative

LCM of 3245 and 3253 = LCM of 3253 and 3245

Related Least Common Multiples of 3245

Related Least Common Multiples of 3253

Frequently Asked Questions on LCM of 3245 and 3253

1. What is the LCM of 3245 and 3253?

Answer: LCM of 3245 and 3253 is 10555985.

2. What are the Factors of 3245?

Answer: Factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245. There are 8 integers that are factors of 3245. The greatest factor of 3245 is 3245.

3. What are the Factors of 3253?

Answer: Factors of 3253 are 1, 3253. There are 2 integers that are factors of 3253. The greatest factor of 3253 is 3253.

4. How to Find the LCM of 3245 and 3253?

Answer:

Least Common Multiple of 3245 and 3253 = 10555985

Step 1: Find the prime factorization of 3245

3245 = 5 x 11 x 59

Step 2: Find the prime factorization of 3253

3253 = 3253

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

LCM = 10555985 = 5 x 11 x 59 x 3253

Step 4: Therefore, the least common multiple of 3245 and 3253 is 10555985.