Least Common Multiple of 3347 and 3351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3347 and 3351 the smallest integer that is 11215797 that is divisible by both numbers.

Least Common Multiple (LCM) of 3347 and 3351 is 11215797.

LCM(3347,3351) = 11215797

LCM of 3347 and 3351

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

LCM of:
and

Least Common Multiple of 3347 and 3351

LCM of 3347 and 3351 is 11215797

Least common multiple can be found by multiplying the highest exponent prime factors of 3347 and 3351. First we will calculate the prime factors of 3347 and 3351.

Prime Factorization of 3347


3347 3347
1

Prime factors of 3347 are 3347. Prime factorization of 3347 in exponential form is:

3347 = 33471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3347 and 3351.

LCM(3347,3351) = 31×11171×33471
LCM(3347,3351) = 11215797

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1, 3347

Factors of 3351

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

1, 3, 1117, 3351

Least Common Multiple of 3347 and 3351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3347 and 3351, than apply into the LCM equation.

GCF(3347,3351) = 1
LCM(3347,3351) = ( 3347 × 3351) / 1
LCM(3347,3351) = 11215797 / 1
LCM(3347,3351) = 11215797

Properties of LCM 3347 and 3351

(i) The LCM of 3351 and 3347 is associative

LCM of 3347 and 3351 = LCM of 3351 and 3347

Related Least Common Multiples of 3347

Related Least Common Multiples of 3351

Frequently Asked Questions on LCM of 3347 and 3351

1. What is the LCM of 3347 and 3351?

Answer: LCM of 3347 and 3351 is 11215797.

2. What are the Factors of 3347?

Answer: Factors of 3347 are 1, 3347. There are 2 integers that are factors of 3347. The greatest factor of 3347 is 3347.

3. 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.

4. How to Find the LCM of 3347 and 3351?

Answer:

Least Common Multiple of 3347 and 3351 = 11215797

Step 1: Find the prime factorization of 3347

3347 = 3347

Step 2: Find the prime factorization of 3351

3351 = 3 x 1117

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

LCM = 11215797 = 3 x 1117 x 3347

Step 4: Therefore, the least common multiple of 3347 and 3351 is 11215797.