Least Common Multiple of 3263 and 3270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3263 and 3270 the smallest integer that is 10670010 that is divisible by both numbers.

Least Common Multiple (LCM) of 3263 and 3270 is 10670010.

LCM(3263,3270) = 10670010

LCM of 3263 and 3270

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

LCM of:
and

Least Common Multiple of 3263 and 3270

LCM of 3263 and 3270 is 10670010

Least common multiple can be found by multiplying the highest exponent prime factors of 3263 and 3270. First we will calculate the prime factors of 3263 and 3270.

Prime Factorization of 3263


13 3263
251 251
1

Prime factors of 3263 are 13,251. Prime factorization of 3263 in exponential form is:

3263 = 131×2511

Prime Factorization of 3270


2 3270
3 1635
5 545
109 109
1

Prime factors of 3270 are 2, 3, 5,109. Prime factorization of 3270 in exponential form is:

3270 = 21×31×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3263 and 3270.

LCM(3263,3270) = 21×31×51×131×1091×2511
LCM(3263,3270) = 10670010

Factors of 3263

List of positive integer factors of 3263 that divides 3263 without a remainder.

1, 13, 251, 3263

Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270

Least Common Multiple of 3263 and 3270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3263 and 3270, than apply into the LCM equation.

GCF(3263,3270) = 1
LCM(3263,3270) = ( 3263 × 3270) / 1
LCM(3263,3270) = 10670010 / 1
LCM(3263,3270) = 10670010

Properties of LCM 3263 and 3270

(i) The LCM of 3270 and 3263 is associative

LCM of 3263 and 3270 = LCM of 3270 and 3263

Related Least Common Multiples of 3263

Related Least Common Multiples of 3270

Frequently Asked Questions on LCM of 3263 and 3270

1. What is the LCM of 3263 and 3270?

Answer: LCM of 3263 and 3270 is 10670010.

2. What are the Factors of 3263?

Answer: Factors of 3263 are 1, 13, 251, 3263. There are 4 integers that are factors of 3263. The greatest factor of 3263 is 3263.

3. What are the Factors of 3270?

Answer: Factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270. There are 16 integers that are factors of 3270. The greatest factor of 3270 is 3270.

4. How to Find the LCM of 3263 and 3270?

Answer:

Least Common Multiple of 3263 and 3270 = 10670010

Step 1: Find the prime factorization of 3263

3263 = 13 x 251

Step 2: Find the prime factorization of 3270

3270 = 2 x 3 x 5 x 109

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

LCM = 10670010 = 2 x 3 x 5 x 13 x 109 x 251

Step 4: Therefore, the least common multiple of 3263 and 3270 is 10670010.