Least Common Multiple of 3272 and 3278

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 3278 the smallest integer that is 5362808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3272 and 3278 is 5362808.

LCM(3272,3278) = 5362808

LCM of 3272 and 3278

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

LCM of:
and

Least Common Multiple of 3272 and 3278

LCM of 3272 and 3278 is 5362808

Least common multiple can be found by multiplying the highest exponent prime factors of 3272 and 3278. First we will calculate the prime factors of 3272 and 3278.

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 3278


2 3278
11 1639
149 149
1

Prime factors of 3278 are 2, 11,149. Prime factorization of 3278 in exponential form is:

3278 = 21×111×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3272 and 3278.

LCM(3272,3278) = 23×111×1491×4091
LCM(3272,3278) = 5362808

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 3278

List of positive integer factors of 3278 that divides 3278 without a remainder.

1, 2, 11, 22, 149, 298, 1639, 3278

Least Common Multiple of 3272 and 3278 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 3278, than apply into the LCM equation.

GCF(3272,3278) = 2
LCM(3272,3278) = ( 3272 × 3278) / 2
LCM(3272,3278) = 10725616 / 2
LCM(3272,3278) = 5362808

Properties of LCM 3272 and 3278

(i) The LCM of 3278 and 3272 is associative

LCM of 3272 and 3278 = LCM of 3278 and 3272

Related Least Common Multiples of 3272

Related Least Common Multiples of 3278

Frequently Asked Questions on LCM of 3272 and 3278

1. What is the LCM of 3272 and 3278?

Answer: LCM of 3272 and 3278 is 5362808.

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 3278?

Answer: Factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278. There are 8 integers that are factors of 3278. The greatest factor of 3278 is 3278.

4. How to Find the LCM of 3272 and 3278?

Answer:

Least Common Multiple of 3272 and 3278 = 5362808

Step 1: Find the prime factorization of 3272

3272 = 2 x 2 x 2 x 409

Step 2: Find the prime factorization of 3278

3278 = 2 x 11 x 149

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

LCM = 5362808 = 2 x 2 x 2 x 11 x 149 x 409

Step 4: Therefore, the least common multiple of 3272 and 3278 is 5362808.