Least Common Multiple of 3351 and 3356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3351 and 3356 the smallest integer that is 11245956 that is divisible by both numbers.

Least Common Multiple (LCM) of 3351 and 3356 is 11245956.

LCM(3351,3356) = 11245956

LCM of 3351 and 3356

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

LCM of:
and

Least Common Multiple of 3351 and 3356

LCM of 3351 and 3356 is 11245956

Least common multiple can be found by multiplying the highest exponent prime factors of 3351 and 3356. First we will calculate the prime factors of 3351 and 3356.

Prime Factorization of 3351


3 3351
1117 1117
1

Prime factors of 3351 are 3,1117. Prime factorization of 3351 in exponential form is:

3351 = 31×11171

Prime Factorization of 3356


2 3356
2 1678
839 839
1

Prime factors of 3356 are 2,839. Prime factorization of 3356 in exponential form is:

3356 = 22×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 3351 and 3356.

LCM(3351,3356) = 22×31×8391×11171
LCM(3351,3356) = 11245956

Factors of 3351

List of positive integer factors of 3351 that divides 3351 without a remainder.

1, 3, 1117, 3351

Factors of 3356

List of positive integer factors of 3356 that divides 3356 without a remainder.

1, 2, 4, 839, 1678, 3356

Least Common Multiple of 3351 and 3356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3351 and 3356, than apply into the LCM equation.

GCF(3351,3356) = 1
LCM(3351,3356) = ( 3351 × 3356) / 1
LCM(3351,3356) = 11245956 / 1
LCM(3351,3356) = 11245956

Properties of LCM 3351 and 3356

(i) The LCM of 3356 and 3351 is associative

LCM of 3351 and 3356 = LCM of 3356 and 3351

Related Least Common Multiples of 3351

Related Least Common Multiples of 3356

Frequently Asked Questions on LCM of 3351 and 3356

1. What is the LCM of 3351 and 3356?

Answer: LCM of 3351 and 3356 is 11245956.

2. What are the Factors of 3351?

Answer: Factors of 3351 are 1, 3, 1117, 3351. There are 4 integers that are factors of 3351. The greatest factor of 3351 is 3351.

3. What are the Factors of 3356?

Answer: Factors of 3356 are 1, 2, 4, 839, 1678, 3356. There are 6 integers that are factors of 3356. The greatest factor of 3356 is 3356.

4. How to Find the LCM of 3351 and 3356?

Answer:

Least Common Multiple of 3351 and 3356 = 11245956

Step 1: Find the prime factorization of 3351

3351 = 3 x 1117

Step 2: Find the prime factorization of 3356

3356 = 2 x 2 x 839

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

LCM = 11245956 = 2 x 2 x 3 x 839 x 1117

Step 4: Therefore, the least common multiple of 3351 and 3356 is 11245956.