Least Common Multiple of 3272 and 3275

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 3275 the smallest integer that is 10715800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3272 and 3275 is 10715800.

LCM(3272,3275) = 10715800

LCM of 3272 and 3275

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

LCM of:
and

Least Common Multiple of 3272 and 3275

LCM of 3272 and 3275 is 10715800

Least common multiple can be found by multiplying the highest exponent prime factors of 3272 and 3275. First we will calculate the prime factors of 3272 and 3275.

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 3275


5 3275
5 655
131 131
1

Prime factors of 3275 are 5,131. Prime factorization of 3275 in exponential form is:

3275 = 52×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3272 and 3275.

LCM(3272,3275) = 23×52×1311×4091
LCM(3272,3275) = 10715800

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 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1, 5, 25, 131, 655, 3275

Least Common Multiple of 3272 and 3275 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 3275, than apply into the LCM equation.

GCF(3272,3275) = 1
LCM(3272,3275) = ( 3272 × 3275) / 1
LCM(3272,3275) = 10715800 / 1
LCM(3272,3275) = 10715800

Properties of LCM 3272 and 3275

(i) The LCM of 3275 and 3272 is associative

LCM of 3272 and 3275 = LCM of 3275 and 3272

Related Least Common Multiples of 3272

Related Least Common Multiples of 3275

Frequently Asked Questions on LCM of 3272 and 3275

1. What is the LCM of 3272 and 3275?

Answer: LCM of 3272 and 3275 is 10715800.

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 3275?

Answer: Factors of 3275 are 1, 5, 25, 131, 655, 3275. There are 6 integers that are factors of 3275. The greatest factor of 3275 is 3275.

4. How to Find the LCM of 3272 and 3275?

Answer:

Least Common Multiple of 3272 and 3275 = 10715800

Step 1: Find the prime factorization of 3272

3272 = 2 x 2 x 2 x 409

Step 2: Find the prime factorization of 3275

3275 = 5 x 5 x 131

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

LCM = 10715800 = 2 x 2 x 2 x 5 x 5 x 131 x 409

Step 4: Therefore, the least common multiple of 3272 and 3275 is 10715800.