Least Common Multiple of 3358 and 3362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3358 and 3362 the smallest integer that is 5644798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3358 and 3362 is 5644798.

LCM(3358,3362) = 5644798

LCM of 3358 and 3362

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

LCM of:
and

Least Common Multiple of 3358 and 3362

LCM of 3358 and 3362 is 5644798

Least common multiple can be found by multiplying the highest exponent prime factors of 3358 and 3362. First we will calculate the prime factors of 3358 and 3362.

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

Prime Factorization of 3362


2 3362
41 1681
41 41
1

Prime factors of 3362 are 2,41. Prime factorization of 3362 in exponential form is:

3362 = 21×412

Now multiplying the highest exponent prime factors to calculate the LCM of 3358 and 3362.

LCM(3358,3362) = 21×231×412×731
LCM(3358,3362) = 5644798

Factors of 3358

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

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

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1, 2, 41, 82, 1681, 3362

Least Common Multiple of 3358 and 3362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3358 and 3362, than apply into the LCM equation.

GCF(3358,3362) = 2
LCM(3358,3362) = ( 3358 × 3362) / 2
LCM(3358,3362) = 11289596 / 2
LCM(3358,3362) = 5644798

Properties of LCM 3358 and 3362

(i) The LCM of 3362 and 3358 is associative

LCM of 3358 and 3362 = LCM of 3362 and 3358

Related Least Common Multiples of 3358

Related Least Common Multiples of 3362

Frequently Asked Questions on LCM of 3358 and 3362

1. What is the LCM of 3358 and 3362?

Answer: LCM of 3358 and 3362 is 5644798.

2. 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.

3. What are the Factors of 3362?

Answer: Factors of 3362 are 1, 2, 41, 82, 1681, 3362. There are 6 integers that are factors of 3362. The greatest factor of 3362 is 3362.

4. How to Find the LCM of 3358 and 3362?

Answer:

Least Common Multiple of 3358 and 3362 = 5644798

Step 1: Find the prime factorization of 3358

3358 = 2 x 23 x 73

Step 2: Find the prime factorization of 3362

3362 = 2 x 41 x 41

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

LCM = 5644798 = 2 x 23 x 41 x 41 x 73

Step 4: Therefore, the least common multiple of 3358 and 3362 is 5644798.