Least Common Multiple of 3370 and 3378

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 3378 the smallest integer that is 5691930 that is divisible by both numbers.

Least Common Multiple (LCM) of 3370 and 3378 is 5691930.

LCM(3370,3378) = 5691930

LCM of 3370 and 3378

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

LCM of:
and

Least Common Multiple of 3370 and 3378

LCM of 3370 and 3378 is 5691930

Least common multiple can be found by multiplying the highest exponent prime factors of 3370 and 3378. First we will calculate the prime factors of 3370 and 3378.

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 3378


2 3378
3 1689
563 563
1

Prime factors of 3378 are 2, 3,563. Prime factorization of 3378 in exponential form is:

3378 = 21×31×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 3370 and 3378.

LCM(3370,3378) = 21×31×51×3371×5631
LCM(3370,3378) = 5691930

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 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1, 2, 3, 6, 563, 1126, 1689, 3378

Least Common Multiple of 3370 and 3378 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 3378, than apply into the LCM equation.

GCF(3370,3378) = 2
LCM(3370,3378) = ( 3370 × 3378) / 2
LCM(3370,3378) = 11383860 / 2
LCM(3370,3378) = 5691930

Properties of LCM 3370 and 3378

(i) The LCM of 3378 and 3370 is associative

LCM of 3370 and 3378 = LCM of 3378 and 3370

Related Least Common Multiples of 3370

Related Least Common Multiples of 3378

Frequently Asked Questions on LCM of 3370 and 3378

1. What is the LCM of 3370 and 3378?

Answer: LCM of 3370 and 3378 is 5691930.

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 3378?

Answer: Factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378. There are 8 integers that are factors of 3378. The greatest factor of 3378 is 3378.

4. How to Find the LCM of 3370 and 3378?

Answer:

Least Common Multiple of 3370 and 3378 = 5691930

Step 1: Find the prime factorization of 3370

3370 = 2 x 5 x 337

Step 2: Find the prime factorization of 3378

3378 = 2 x 3 x 563

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

LCM = 5691930 = 2 x 3 x 5 x 337 x 563

Step 4: Therefore, the least common multiple of 3370 and 3378 is 5691930.