Least Common Multiple of 3238 and 3245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3238 and 3245 the smallest integer that is 10507310 that is divisible by both numbers.

Least Common Multiple (LCM) of 3238 and 3245 is 10507310.

LCM(3238,3245) = 10507310

LCM of 3238 and 3245

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

LCM of:
and

Least Common Multiple of 3238 and 3245

LCM of 3238 and 3245 is 10507310

Least common multiple can be found by multiplying the highest exponent prime factors of 3238 and 3245. First we will calculate the prime factors of 3238 and 3245.

Prime Factorization of 3238


2 3238
1619 1619
1

Prime factors of 3238 are 2,1619. Prime factorization of 3238 in exponential form is:

3238 = 21×16191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3238 and 3245.

LCM(3238,3245) = 21×51×111×591×16191
LCM(3238,3245) = 10507310

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1, 2, 1619, 3238

Factors of 3245

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

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

Least Common Multiple of 3238 and 3245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3238 and 3245, than apply into the LCM equation.

GCF(3238,3245) = 1
LCM(3238,3245) = ( 3238 × 3245) / 1
LCM(3238,3245) = 10507310 / 1
LCM(3238,3245) = 10507310

Properties of LCM 3238 and 3245

(i) The LCM of 3245 and 3238 is associative

LCM of 3238 and 3245 = LCM of 3245 and 3238

Related Least Common Multiples of 3238

Related Least Common Multiples of 3245

Frequently Asked Questions on LCM of 3238 and 3245

1. What is the LCM of 3238 and 3245?

Answer: LCM of 3238 and 3245 is 10507310.

2. What are the Factors of 3238?

Answer: Factors of 3238 are 1, 2, 1619, 3238. There are 4 integers that are factors of 3238. The greatest factor of 3238 is 3238.

3. 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.

4. How to Find the LCM of 3238 and 3245?

Answer:

Least Common Multiple of 3238 and 3245 = 10507310

Step 1: Find the prime factorization of 3238

3238 = 2 x 1619

Step 2: Find the prime factorization of 3245

3245 = 5 x 11 x 59

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

LCM = 10507310 = 2 x 5 x 11 x 59 x 1619

Step 4: Therefore, the least common multiple of 3238 and 3245 is 10507310.