Least Common Multiple of 3348 and 3350

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 3350 the smallest integer that is 5607900 that is divisible by both numbers.

Least Common Multiple (LCM) of 3348 and 3350 is 5607900.

LCM(3348,3350) = 5607900

LCM of 3348 and 3350

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

LCM of:
and

Least Common Multiple of 3348 and 3350

LCM of 3348 and 3350 is 5607900

Least common multiple can be found by multiplying the highest exponent prime factors of 3348 and 3350. First we will calculate the prime factors of 3348 and 3350.

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 3350


2 3350
5 1675
5 335
67 67
1

Prime factors of 3350 are 2, 5,67. Prime factorization of 3350 in exponential form is:

3350 = 21×52×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3348 and 3350.

LCM(3348,3350) = 22×33×52×311×671
LCM(3348,3350) = 5607900

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 3350

List of positive integer factors of 3350 that divides 3350 without a remainder.

1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350

Least Common Multiple of 3348 and 3350 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 3350, than apply into the LCM equation.

GCF(3348,3350) = 2
LCM(3348,3350) = ( 3348 × 3350) / 2
LCM(3348,3350) = 11215800 / 2
LCM(3348,3350) = 5607900

Properties of LCM 3348 and 3350

(i) The LCM of 3350 and 3348 is associative

LCM of 3348 and 3350 = LCM of 3350 and 3348

Related Least Common Multiples of 3348

Related Least Common Multiples of 3350

Frequently Asked Questions on LCM of 3348 and 3350

1. What is the LCM of 3348 and 3350?

Answer: LCM of 3348 and 3350 is 5607900.

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 3350?

Answer: Factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350. There are 12 integers that are factors of 3350. The greatest factor of 3350 is 3350.

4. How to Find the LCM of 3348 and 3350?

Answer:

Least Common Multiple of 3348 and 3350 = 5607900

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 3350

3350 = 2 x 5 x 5 x 67

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

LCM = 5607900 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 31 x 67

Step 4: Therefore, the least common multiple of 3348 and 3350 is 5607900.