Least Common Multiple of 3372 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 3372 and 3380 the smallest integer that is 2849340 that is divisible by both numbers.

Least Common Multiple (LCM) of 3372 and 3380 is 2849340.

LCM(3372,3380) = 2849340

LCM of 3372 and 3380

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

LCM of:
and

Least Common Multiple of 3372 and 3380

LCM of 3372 and 3380 is 2849340

Least common multiple can be found by multiplying the highest exponent prime factors of 3372 and 3380. First we will calculate the prime factors of 3372 and 3380.

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 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 3372 and 3380.

LCM(3372,3380) = 22×31×51×132×2811
LCM(3372,3380) = 2849340

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 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 3372 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 3372 and 3380, than apply into the LCM equation.

GCF(3372,3380) = 4
LCM(3372,3380) = ( 3372 × 3380) / 4
LCM(3372,3380) = 11397360 / 4
LCM(3372,3380) = 2849340

Properties of LCM 3372 and 3380

(i) The LCM of 3380 and 3372 is associative

LCM of 3372 and 3380 = LCM of 3380 and 3372

Related Least Common Multiples of 3372

Related Least Common Multiples of 3380

Frequently Asked Questions on LCM of 3372 and 3380

1. What is the LCM of 3372 and 3380?

Answer: LCM of 3372 and 3380 is 2849340.

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 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 3372 and 3380?

Answer:

Least Common Multiple of 3372 and 3380 = 2849340

Step 1: Find the prime factorization of 3372

3372 = 2 x 2 x 3 x 281

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 = 2849340 = 2 x 2 x 3 x 5 x 13 x 13 x 281

Step 4: Therefore, the least common multiple of 3372 and 3380 is 2849340.