Least Common Multiple of 3272 and 3279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3272 and 3279 the smallest integer that is 10728888 that is divisible by both numbers.

Least Common Multiple (LCM) of 3272 and 3279 is 10728888.

LCM(3272,3279) = 10728888

LCM of 3272 and 3279

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

LCM of:
and

Least Common Multiple of 3272 and 3279

LCM of 3272 and 3279 is 10728888

Least common multiple can be found by multiplying the highest exponent prime factors of 3272 and 3279. First we will calculate the prime factors of 3272 and 3279.

Prime Factorization of 3272


2 3272
2 1636
2 818
409 409
1

Prime factors of 3272 are 2,409. Prime factorization of 3272 in exponential form is:

3272 = 23×4091

Prime Factorization of 3279


3 3279
1093 1093
1

Prime factors of 3279 are 3,1093. Prime factorization of 3279 in exponential form is:

3279 = 31×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 3272 and 3279.

LCM(3272,3279) = 23×31×4091×10931
LCM(3272,3279) = 10728888

Factors of 3272

List of positive integer factors of 3272 that divides 3272 without a remainder.

1, 2, 4, 8, 409, 818, 1636, 3272

Factors of 3279

List of positive integer factors of 3279 that divides 3279 without a remainder.

1, 3, 1093, 3279

Least Common Multiple of 3272 and 3279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3272 and 3279, than apply into the LCM equation.

GCF(3272,3279) = 1
LCM(3272,3279) = ( 3272 × 3279) / 1
LCM(3272,3279) = 10728888 / 1
LCM(3272,3279) = 10728888

Properties of LCM 3272 and 3279

(i) The LCM of 3279 and 3272 is associative

LCM of 3272 and 3279 = LCM of 3279 and 3272

Related Least Common Multiples of 3272

Related Least Common Multiples of 3279

Frequently Asked Questions on LCM of 3272 and 3279

1. What is the LCM of 3272 and 3279?

Answer: LCM of 3272 and 3279 is 10728888.

2. What are the Factors of 3272?

Answer: Factors of 3272 are 1, 2, 4, 8, 409, 818, 1636, 3272. There are 8 integers that are factors of 3272. The greatest factor of 3272 is 3272.

3. What are the Factors of 3279?

Answer: Factors of 3279 are 1, 3, 1093, 3279. There are 4 integers that are factors of 3279. The greatest factor of 3279 is 3279.

4. How to Find the LCM of 3272 and 3279?

Answer:

Least Common Multiple of 3272 and 3279 = 10728888

Step 1: Find the prime factorization of 3272

3272 = 2 x 2 x 2 x 409

Step 2: Find the prime factorization of 3279

3279 = 3 x 1093

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

LCM = 10728888 = 2 x 2 x 2 x 3 x 409 x 1093

Step 4: Therefore, the least common multiple of 3272 and 3279 is 10728888.