Least Common Multiple of 3375 and 3377

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 3377 the smallest integer that is 11397375 that is divisible by both numbers.

Least Common Multiple (LCM) of 3375 and 3377 is 11397375.

LCM(3375,3377) = 11397375

LCM of 3375 and 3377

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

LCM of:
and

Least Common Multiple of 3375 and 3377

LCM of 3375 and 3377 is 11397375

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3377. First we will calculate the prime factors of 3375 and 3377.

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 3377


11 3377
307 307
1

Prime factors of 3377 are 11,307. Prime factorization of 3377 in exponential form is:

3377 = 111×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3377.

LCM(3375,3377) = 33×53×111×3071
LCM(3375,3377) = 11397375

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 3377

List of positive integer factors of 3377 that divides 3377 without a remainder.

1, 11, 307, 3377

Least Common Multiple of 3375 and 3377 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 3377, than apply into the LCM equation.

GCF(3375,3377) = 1
LCM(3375,3377) = ( 3375 × 3377) / 1
LCM(3375,3377) = 11397375 / 1
LCM(3375,3377) = 11397375

Properties of LCM 3375 and 3377

(i) The LCM of 3377 and 3375 is associative

LCM of 3375 and 3377 = LCM of 3377 and 3375

Related Least Common Multiples of 3375

Related Least Common Multiples of 3377

Frequently Asked Questions on LCM of 3375 and 3377

1. What is the LCM of 3375 and 3377?

Answer: LCM of 3375 and 3377 is 11397375.

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 3377?

Answer: Factors of 3377 are 1, 11, 307, 3377. There are 4 integers that are factors of 3377. The greatest factor of 3377 is 3377.

4. How to Find the LCM of 3375 and 3377?

Answer:

Least Common Multiple of 3375 and 3377 = 11397375

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 3377

3377 = 11 x 307

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

LCM = 11397375 = 3 x 3 x 3 x 5 x 5 x 5 x 11 x 307

Step 4: Therefore, the least common multiple of 3375 and 3377 is 11397375.