Least Common Multiple of 3236 and 3242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3236 and 3242 the smallest integer that is 5245556 that is divisible by both numbers.

Least Common Multiple (LCM) of 3236 and 3242 is 5245556.

LCM(3236,3242) = 5245556

LCM of 3236 and 3242

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

LCM of:
and

Least Common Multiple of 3236 and 3242

LCM of 3236 and 3242 is 5245556

Least common multiple can be found by multiplying the highest exponent prime factors of 3236 and 3242. First we will calculate the prime factors of 3236 and 3242.

Prime Factorization of 3236


2 3236
2 1618
809 809
1

Prime factors of 3236 are 2,809. Prime factorization of 3236 in exponential form is:

3236 = 22×8091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3236 and 3242.

LCM(3236,3242) = 22×8091×16211
LCM(3236,3242) = 5245556

Factors of 3236

List of positive integer factors of 3236 that divides 3236 without a remainder.

1, 2, 4, 809, 1618, 3236

Factors of 3242

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

1, 2, 1621, 3242

Least Common Multiple of 3236 and 3242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3236 and 3242, than apply into the LCM equation.

GCF(3236,3242) = 2
LCM(3236,3242) = ( 3236 × 3242) / 2
LCM(3236,3242) = 10491112 / 2
LCM(3236,3242) = 5245556

Properties of LCM 3236 and 3242

(i) The LCM of 3242 and 3236 is associative

LCM of 3236 and 3242 = LCM of 3242 and 3236

Related Least Common Multiples of 3236

Related Least Common Multiples of 3242

Frequently Asked Questions on LCM of 3236 and 3242

1. What is the LCM of 3236 and 3242?

Answer: LCM of 3236 and 3242 is 5245556.

2. What are the Factors of 3236?

Answer: Factors of 3236 are 1, 2, 4, 809, 1618, 3236. There are 6 integers that are factors of 3236. The greatest factor of 3236 is 3236.

3. 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.

4. How to Find the LCM of 3236 and 3242?

Answer:

Least Common Multiple of 3236 and 3242 = 5245556

Step 1: Find the prime factorization of 3236

3236 = 2 x 2 x 809

Step 2: Find the prime factorization of 3242

3242 = 2 x 1621

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

LCM = 5245556 = 2 x 2 x 809 x 1621

Step 4: Therefore, the least common multiple of 3236 and 3242 is 5245556.