Least Common Multiple of 3348 and 3352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3348 and 3352 the smallest integer that is 2805624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3348 and 3352 is 2805624.

LCM(3348,3352) = 2805624

LCM of 3348 and 3352

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

LCM of:
and

Least Common Multiple of 3348 and 3352

LCM of 3348 and 3352 is 2805624

Least common multiple can be found by multiplying the highest exponent prime factors of 3348 and 3352. First we will calculate the prime factors of 3348 and 3352.

Prime Factorization of 3348


2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 3348 are 2, 3,31. Prime factorization of 3348 in exponential form is:

3348 = 22×33×311

Prime Factorization of 3352


2 3352
2 1676
2 838
419 419
1

Prime factors of 3352 are 2,419. Prime factorization of 3352 in exponential form is:

3352 = 23×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 3348 and 3352.

LCM(3348,3352) = 23×33×311×4191
LCM(3348,3352) = 2805624

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1, 2, 4, 8, 419, 838, 1676, 3352

Least Common Multiple of 3348 and 3352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3348 and 3352, than apply into the LCM equation.

GCF(3348,3352) = 4
LCM(3348,3352) = ( 3348 × 3352) / 4
LCM(3348,3352) = 11222496 / 4
LCM(3348,3352) = 2805624

Properties of LCM 3348 and 3352

(i) The LCM of 3352 and 3348 is associative

LCM of 3348 and 3352 = LCM of 3352 and 3348

Related Least Common Multiples of 3348

Related Least Common Multiples of 3352

Frequently Asked Questions on LCM of 3348 and 3352

1. What is the LCM of 3348 and 3352?

Answer: LCM of 3348 and 3352 is 2805624.

2. What are the Factors of 3348?

Answer: Factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348. There are 24 integers that are factors of 3348. The greatest factor of 3348 is 3348.

3. What are the Factors of 3352?

Answer: Factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352. There are 8 integers that are factors of 3352. The greatest factor of 3352 is 3352.

4. How to Find the LCM of 3348 and 3352?

Answer:

Least Common Multiple of 3348 and 3352 = 2805624

Step 1: Find the prime factorization of 3348

3348 = 2 x 2 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 3352

3352 = 2 x 2 x 2 x 419

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

LCM = 2805624 = 2 x 2 x 2 x 3 x 3 x 3 x 31 x 419

Step 4: Therefore, the least common multiple of 3348 and 3352 is 2805624.