Least Common Multiple of 3370 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 3370 and 3377 the smallest integer that is 11380490 that is divisible by both numbers.

Least Common Multiple (LCM) of 3370 and 3377 is 11380490.

LCM(3370,3377) = 11380490

LCM of 3370 and 3377

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

LCM of:
and

Least Common Multiple of 3370 and 3377

LCM of 3370 and 3377 is 11380490

Least common multiple can be found by multiplying the highest exponent prime factors of 3370 and 3377. First we will calculate the prime factors of 3370 and 3377.

Prime Factorization of 3370


2 3370
5 1685
337 337
1

Prime factors of 3370 are 2, 5,337. Prime factorization of 3370 in exponential form is:

3370 = 21×51×3371

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 3370 and 3377.

LCM(3370,3377) = 21×51×111×3071×3371
LCM(3370,3377) = 11380490

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1, 2, 5, 10, 337, 674, 1685, 3370

Factors of 3377

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

1, 11, 307, 3377

Least Common Multiple of 3370 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 3370 and 3377, than apply into the LCM equation.

GCF(3370,3377) = 1
LCM(3370,3377) = ( 3370 × 3377) / 1
LCM(3370,3377) = 11380490 / 1
LCM(3370,3377) = 11380490

Properties of LCM 3370 and 3377

(i) The LCM of 3377 and 3370 is associative

LCM of 3370 and 3377 = LCM of 3377 and 3370

Related Least Common Multiples of 3370

Related Least Common Multiples of 3377

Frequently Asked Questions on LCM of 3370 and 3377

1. What is the LCM of 3370 and 3377?

Answer: LCM of 3370 and 3377 is 11380490.

2. What are the Factors of 3370?

Answer: Factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370. There are 8 integers that are factors of 3370. The greatest factor of 3370 is 3370.

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 3370 and 3377?

Answer:

Least Common Multiple of 3370 and 3377 = 11380490

Step 1: Find the prime factorization of 3370

3370 = 2 x 5 x 337

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 = 11380490 = 2 x 5 x 11 x 307 x 337

Step 4: Therefore, the least common multiple of 3370 and 3377 is 11380490.