Least Common Multiple of 3275 and 3283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3275 and 3283 the smallest integer that is 10751825 that is divisible by both numbers.

Least Common Multiple (LCM) of 3275 and 3283 is 10751825.

LCM(3275,3283) = 10751825

LCM of 3275 and 3283

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

LCM of:
and

Least Common Multiple of 3275 and 3283

LCM of 3275 and 3283 is 10751825

Least common multiple can be found by multiplying the highest exponent prime factors of 3275 and 3283. First we will calculate the prime factors of 3275 and 3283.

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

Prime Factorization of 3283


7 3283
7 469
67 67
1

Prime factors of 3283 are 7,67. Prime factorization of 3283 in exponential form is:

3283 = 72×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3283.

LCM(3275,3283) = 52×72×671×1311
LCM(3275,3283) = 10751825

Factors of 3275

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

1, 5, 25, 131, 655, 3275

Factors of 3283

List of positive integer factors of 3283 that divides 3283 without a remainder.

1, 7, 49, 67, 469, 3283

Least Common Multiple of 3275 and 3283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3283, than apply into the LCM equation.

GCF(3275,3283) = 1
LCM(3275,3283) = ( 3275 × 3283) / 1
LCM(3275,3283) = 10751825 / 1
LCM(3275,3283) = 10751825

Properties of LCM 3275 and 3283

(i) The LCM of 3283 and 3275 is associative

LCM of 3275 and 3283 = LCM of 3283 and 3275

Related Least Common Multiples of 3275

Related Least Common Multiples of 3283

Frequently Asked Questions on LCM of 3275 and 3283

1. What is the LCM of 3275 and 3283?

Answer: LCM of 3275 and 3283 is 10751825.

2. 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.

3. What are the Factors of 3283?

Answer: Factors of 3283 are 1, 7, 49, 67, 469, 3283. There are 6 integers that are factors of 3283. The greatest factor of 3283 is 3283.

4. How to Find the LCM of 3275 and 3283?

Answer:

Least Common Multiple of 3275 and 3283 = 10751825

Step 1: Find the prime factorization of 3275

3275 = 5 x 5 x 131

Step 2: Find the prime factorization of 3283

3283 = 7 x 7 x 67

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

LCM = 10751825 = 5 x 5 x 7 x 7 x 67 x 131

Step 4: Therefore, the least common multiple of 3275 and 3283 is 10751825.