Least Common Multiple of 3372 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 3372 and 3377 the smallest integer that is 11387244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3372 and 3377 is 11387244.

LCM(3372,3377) = 11387244

LCM of 3372 and 3377

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

LCM of:
and

Least Common Multiple of 3372 and 3377

LCM of 3372 and 3377 is 11387244

Least common multiple can be found by multiplying the highest exponent prime factors of 3372 and 3377. First we will calculate the prime factors of 3372 and 3377.

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 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 3372 and 3377.

LCM(3372,3377) = 22×31×111×2811×3071
LCM(3372,3377) = 11387244

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 3377

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

1, 11, 307, 3377

Least Common Multiple of 3372 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 3372 and 3377, than apply into the LCM equation.

GCF(3372,3377) = 1
LCM(3372,3377) = ( 3372 × 3377) / 1
LCM(3372,3377) = 11387244 / 1
LCM(3372,3377) = 11387244

Properties of LCM 3372 and 3377

(i) The LCM of 3377 and 3372 is associative

LCM of 3372 and 3377 = LCM of 3377 and 3372

Related Least Common Multiples of 3372

Related Least Common Multiples of 3377

Frequently Asked Questions on LCM of 3372 and 3377

1. What is the LCM of 3372 and 3377?

Answer: LCM of 3372 and 3377 is 11387244.

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 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 3372 and 3377?

Answer:

Least Common Multiple of 3372 and 3377 = 11387244

Step 1: Find the prime factorization of 3372

3372 = 2 x 2 x 3 x 281

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 = 11387244 = 2 x 2 x 3 x 11 x 281 x 307

Step 4: Therefore, the least common multiple of 3372 and 3377 is 11387244.