Least Common Multiple of 3231 and 3236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3231 and 3236 the smallest integer that is 10455516 that is divisible by both numbers.

Least Common Multiple (LCM) of 3231 and 3236 is 10455516.

LCM(3231,3236) = 10455516

LCM of 3231 and 3236

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

LCM of:
and

Least Common Multiple of 3231 and 3236

LCM of 3231 and 3236 is 10455516

Least common multiple can be found by multiplying the highest exponent prime factors of 3231 and 3236. First we will calculate the prime factors of 3231 and 3236.

Prime Factorization of 3231


3 3231
3 1077
359 359
1

Prime factors of 3231 are 3,359. Prime factorization of 3231 in exponential form is:

3231 = 32×3591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3231 and 3236.

LCM(3231,3236) = 22×32×3591×8091
LCM(3231,3236) = 10455516

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1, 3, 9, 359, 1077, 3231

Factors of 3236

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

1, 2, 4, 809, 1618, 3236

Least Common Multiple of 3231 and 3236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3231 and 3236, than apply into the LCM equation.

GCF(3231,3236) = 1
LCM(3231,3236) = ( 3231 × 3236) / 1
LCM(3231,3236) = 10455516 / 1
LCM(3231,3236) = 10455516

Properties of LCM 3231 and 3236

(i) The LCM of 3236 and 3231 is associative

LCM of 3231 and 3236 = LCM of 3236 and 3231

Related Least Common Multiples of 3231

Related Least Common Multiples of 3236

Frequently Asked Questions on LCM of 3231 and 3236

1. What is the LCM of 3231 and 3236?

Answer: LCM of 3231 and 3236 is 10455516.

2. What are the Factors of 3231?

Answer: Factors of 3231 are 1, 3, 9, 359, 1077, 3231. There are 6 integers that are factors of 3231. The greatest factor of 3231 is 3231.

3. 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.

4. How to Find the LCM of 3231 and 3236?

Answer:

Least Common Multiple of 3231 and 3236 = 10455516

Step 1: Find the prime factorization of 3231

3231 = 3 x 3 x 359

Step 2: Find the prime factorization of 3236

3236 = 2 x 2 x 809

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

LCM = 10455516 = 2 x 2 x 3 x 3 x 359 x 809

Step 4: Therefore, the least common multiple of 3231 and 3236 is 10455516.