Least Common Multiple of 3264 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 3264 and 3270 the smallest integer that is 1778880 that is divisible by both numbers.

Least Common Multiple (LCM) of 3264 and 3270 is 1778880.

LCM(3264,3270) = 1778880

LCM of 3264 and 3270

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

LCM of:
and

Least Common Multiple of 3264 and 3270

LCM of 3264 and 3270 is 1778880

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3270. First we will calculate the prime factors of 3264 and 3270.

Prime Factorization of 3264


2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 3264 are 2, 3,17. Prime factorization of 3264 in exponential form is:

3264 = 26×31×171

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 3264 and 3270.

LCM(3264,3270) = 26×31×51×171×1091
LCM(3264,3270) = 1778880

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264

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 3264 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 3264 and 3270, than apply into the LCM equation.

GCF(3264,3270) = 6
LCM(3264,3270) = ( 3264 × 3270) / 6
LCM(3264,3270) = 10673280 / 6
LCM(3264,3270) = 1778880

Properties of LCM 3264 and 3270

(i) The LCM of 3270 and 3264 is associative

LCM of 3264 and 3270 = LCM of 3270 and 3264

Related Least Common Multiples of 3264

Related Least Common Multiples of 3270

Frequently Asked Questions on LCM of 3264 and 3270

1. What is the LCM of 3264 and 3270?

Answer: LCM of 3264 and 3270 is 1778880.

2. What are the Factors of 3264?

Answer: Factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. There are 28 integers that are factors of 3264. The greatest factor of 3264 is 3264.

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 3264 and 3270?

Answer:

Least Common Multiple of 3264 and 3270 = 1778880

Step 1: Find the prime factorization of 3264

3264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

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 = 1778880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 109

Step 4: Therefore, the least common multiple of 3264 and 3270 is 1778880.