Least Common Multiple of 3350 and 3358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3350 and 3358 the smallest integer that is 5624650 that is divisible by both numbers.

Least Common Multiple (LCM) of 3350 and 3358 is 5624650.

LCM(3350,3358) = 5624650

LCM of 3350 and 3358

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

LCM of:
and

Least Common Multiple of 3350 and 3358

LCM of 3350 and 3358 is 5624650

Least common multiple can be found by multiplying the highest exponent prime factors of 3350 and 3358. First we will calculate the prime factors of 3350 and 3358.

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

Prime Factorization of 3358


2 3358
23 1679
73 73
1

Prime factors of 3358 are 2, 23,73. Prime factorization of 3358 in exponential form is:

3358 = 21×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3350 and 3358.

LCM(3350,3358) = 21×52×231×671×731
LCM(3350,3358) = 5624650

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

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1, 2, 23, 46, 73, 146, 1679, 3358

Least Common Multiple of 3350 and 3358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3350 and 3358, than apply into the LCM equation.

GCF(3350,3358) = 2
LCM(3350,3358) = ( 3350 × 3358) / 2
LCM(3350,3358) = 11249300 / 2
LCM(3350,3358) = 5624650

Properties of LCM 3350 and 3358

(i) The LCM of 3358 and 3350 is associative

LCM of 3350 and 3358 = LCM of 3358 and 3350

Related Least Common Multiples of 3350

Related Least Common Multiples of 3358

Frequently Asked Questions on LCM of 3350 and 3358

1. What is the LCM of 3350 and 3358?

Answer: LCM of 3350 and 3358 is 5624650.

2. 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.

3. What are the Factors of 3358?

Answer: Factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358. There are 8 integers that are factors of 3358. The greatest factor of 3358 is 3358.

4. How to Find the LCM of 3350 and 3358?

Answer:

Least Common Multiple of 3350 and 3358 = 5624650

Step 1: Find the prime factorization of 3350

3350 = 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 3358

3358 = 2 x 23 x 73

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

LCM = 5624650 = 2 x 5 x 5 x 23 x 67 x 73

Step 4: Therefore, the least common multiple of 3350 and 3358 is 5624650.