Least Common Multiple of 3242 and 3247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3242 and 3247 the smallest integer that is 10526774 that is divisible by both numbers.

Least Common Multiple (LCM) of 3242 and 3247 is 10526774.

LCM(3242,3247) = 10526774

LCM of 3242 and 3247

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

LCM of:
and

Least Common Multiple of 3242 and 3247

LCM of 3242 and 3247 is 10526774

Least common multiple can be found by multiplying the highest exponent prime factors of 3242 and 3247. First we will calculate the prime factors of 3242 and 3247.

Prime Factorization of 3242


2 3242
1621 1621
1

Prime factors of 3242 are 2,1621. Prime factorization of 3242 in exponential form is:

3242 = 21×16211

Prime Factorization of 3247


17 3247
191 191
1

Prime factors of 3247 are 17,191. Prime factorization of 3247 in exponential form is:

3247 = 171×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 3242 and 3247.

LCM(3242,3247) = 21×171×1911×16211
LCM(3242,3247) = 10526774

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1, 2, 1621, 3242

Factors of 3247

List of positive integer factors of 3247 that divides 3247 without a remainder.

1, 17, 191, 3247

Least Common Multiple of 3242 and 3247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3242 and 3247, than apply into the LCM equation.

GCF(3242,3247) = 1
LCM(3242,3247) = ( 3242 × 3247) / 1
LCM(3242,3247) = 10526774 / 1
LCM(3242,3247) = 10526774

Properties of LCM 3242 and 3247

(i) The LCM of 3247 and 3242 is associative

LCM of 3242 and 3247 = LCM of 3247 and 3242

Related Least Common Multiples of 3242

Related Least Common Multiples of 3247

Frequently Asked Questions on LCM of 3242 and 3247

1. What is the LCM of 3242 and 3247?

Answer: LCM of 3242 and 3247 is 10526774.

2. What are the Factors of 3242?

Answer: Factors of 3242 are 1, 2, 1621, 3242. There are 4 integers that are factors of 3242. The greatest factor of 3242 is 3242.

3. What are the Factors of 3247?

Answer: Factors of 3247 are 1, 17, 191, 3247. There are 4 integers that are factors of 3247. The greatest factor of 3247 is 3247.

4. How to Find the LCM of 3242 and 3247?

Answer:

Least Common Multiple of 3242 and 3247 = 10526774

Step 1: Find the prime factorization of 3242

3242 = 2 x 1621

Step 2: Find the prime factorization of 3247

3247 = 17 x 191

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

LCM = 10526774 = 2 x 17 x 191 x 1621

Step 4: Therefore, the least common multiple of 3242 and 3247 is 10526774.