Least Common Multiple of 8354 and 8358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8354 and 8358 the smallest integer that is 34911366 that is divisible by both numbers.

Least Common Multiple (LCM) of 8354 and 8358 is 34911366.

LCM(8354,8358) = 34911366

LCM of 8354 and 8358

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

LCM of:
and

Least Common Multiple of 8354 and 8358

LCM of 8354 and 8358 is 34911366

Least common multiple can be found by multiplying the highest exponent prime factors of 8354 and 8358. First we will calculate the prime factors of 8354 and 8358.

Prime Factorization of 8354


2 8354
4177 4177
1

Prime factors of 8354 are 2,4177. Prime factorization of 8354 in exponential form is:

8354 = 21×41771

Prime Factorization of 8358


2 8358
3 4179
7 1393
199 199
1

Prime factors of 8358 are 2, 3, 7,199. Prime factorization of 8358 in exponential form is:

8358 = 21×31×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 8354 and 8358.

LCM(8354,8358) = 21×31×71×1991×41771
LCM(8354,8358) = 34911366

Factors of 8354

List of positive integer factors of 8354 that divides 8354 without a remainder.

1, 2, 4177, 8354

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358

Least Common Multiple of 8354 and 8358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8354 and 8358, than apply into the LCM equation.

GCF(8354,8358) = 2
LCM(8354,8358) = ( 8354 × 8358) / 2
LCM(8354,8358) = 69822732 / 2
LCM(8354,8358) = 34911366

Properties of LCM 8354 and 8358

(i) The LCM of 8358 and 8354 is associative

LCM of 8354 and 8358 = LCM of 8358 and 8354

Related Least Common Multiples of 8354

Related Least Common Multiples of 8358

Frequently Asked Questions on LCM of 8354 and 8358

1. What is the LCM of 8354 and 8358?

Answer: LCM of 8354 and 8358 is 34911366.

2. What are the Factors of 8354?

Answer: Factors of 8354 are 1, 2, 4177, 8354. There are 4 integers that are factors of 8354. The greatest factor of 8354 is 8354.

3. What are the Factors of 8358?

Answer: Factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358. There are 16 integers that are factors of 8358. The greatest factor of 8358 is 8358.

4. How to Find the LCM of 8354 and 8358?

Answer:

Least Common Multiple of 8354 and 8358 = 34911366

Step 1: Find the prime factorization of 8354

8354 = 2 x 4177

Step 2: Find the prime factorization of 8358

8358 = 2 x 3 x 7 x 199

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

LCM = 34911366 = 2 x 3 x 7 x 199 x 4177

Step 4: Therefore, the least common multiple of 8354 and 8358 is 34911366.