Least Common Multiple of 3372 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 3372 and 3378 the smallest integer that is 1898436 that is divisible by both numbers.

Least Common Multiple (LCM) of 3372 and 3378 is 1898436.

LCM(3372,3378) = 1898436

LCM of 3372 and 3378

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

LCM of:
and

Least Common Multiple of 3372 and 3378

LCM of 3372 and 3378 is 1898436

Least common multiple can be found by multiplying the highest exponent prime factors of 3372 and 3378. First we will calculate the prime factors of 3372 and 3378.

Prime Factorization of 3372


2 3372
2 1686
3 843
281 281
1

Prime factors of 3372 are 2, 3,281. Prime factorization of 3372 in exponential form is:

3372 = 22×31×2811

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 3372 and 3378.

LCM(3372,3378) = 22×31×2811×5631
LCM(3372,3378) = 1898436

Factors of 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372

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 3372 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 3372 and 3378, than apply into the LCM equation.

GCF(3372,3378) = 6
LCM(3372,3378) = ( 3372 × 3378) / 6
LCM(3372,3378) = 11390616 / 6
LCM(3372,3378) = 1898436

Properties of LCM 3372 and 3378

(i) The LCM of 3378 and 3372 is associative

LCM of 3372 and 3378 = LCM of 3378 and 3372

Related Least Common Multiples of 3372

Related Least Common Multiples of 3378

Frequently Asked Questions on LCM of 3372 and 3378

1. What is the LCM of 3372 and 3378?

Answer: LCM of 3372 and 3378 is 1898436.

2. What are the Factors of 3372?

Answer: Factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372. There are 12 integers that are factors of 3372. The greatest factor of 3372 is 3372.

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 3372 and 3378?

Answer:

Least Common Multiple of 3372 and 3378 = 1898436

Step 1: Find the prime factorization of 3372

3372 = 2 x 2 x 3 x 281

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 = 1898436 = 2 x 2 x 3 x 281 x 563

Step 4: Therefore, the least common multiple of 3372 and 3378 is 1898436.