Least Common Multiple of 3375 and 3380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3375 and 3380 the smallest integer that is 2281500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3375 and 3380 is 2281500.

LCM(3375,3380) = 2281500

LCM of 3375 and 3380

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

LCM of:
and

Least Common Multiple of 3375 and 3380

LCM of 3375 and 3380 is 2281500

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3380. First we will calculate the prime factors of 3375 and 3380.

Prime Factorization of 3375


3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 3375 are 3,5. Prime factorization of 3375 in exponential form is:

3375 = 33×53

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2, 5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3380.

LCM(3375,3380) = 22×33×53×132
LCM(3375,3380) = 2281500

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

Least Common Multiple of 3375 and 3380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3375 and 3380, than apply into the LCM equation.

GCF(3375,3380) = 5
LCM(3375,3380) = ( 3375 × 3380) / 5
LCM(3375,3380) = 11407500 / 5
LCM(3375,3380) = 2281500

Properties of LCM 3375 and 3380

(i) The LCM of 3380 and 3375 is associative

LCM of 3375 and 3380 = LCM of 3380 and 3375

Related Least Common Multiples of 3375

Related Least Common Multiples of 3380

Frequently Asked Questions on LCM of 3375 and 3380

1. What is the LCM of 3375 and 3380?

Answer: LCM of 3375 and 3380 is 2281500.

2. What are the Factors of 3375?

Answer: Factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. There are 16 integers that are factors of 3375. The greatest factor of 3375 is 3375.

3. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

4. How to Find the LCM of 3375 and 3380?

Answer:

Least Common Multiple of 3375 and 3380 = 2281500

Step 1: Find the prime factorization of 3375

3375 = 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

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

LCM = 2281500 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 13 x 13

Step 4: Therefore, the least common multiple of 3375 and 3380 is 2281500.