Least Common Multiple of 8354 and 8362

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 8362 the smallest integer that is 34928074 that is divisible by both numbers.

Least Common Multiple (LCM) of 8354 and 8362 is 34928074.

LCM(8354,8362) = 34928074

LCM of 8354 and 8362

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

LCM of:
and

Least Common Multiple of 8354 and 8362

LCM of 8354 and 8362 is 34928074

Least common multiple can be found by multiplying the highest exponent prime factors of 8354 and 8362. First we will calculate the prime factors of 8354 and 8362.

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 8362


2 8362
37 4181
113 113
1

Prime factors of 8362 are 2, 37,113. Prime factorization of 8362 in exponential form is:

8362 = 21×371×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8354 and 8362.

LCM(8354,8362) = 21×371×1131×41771
LCM(8354,8362) = 34928074

Factors of 8354

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

1, 2, 4177, 8354

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1, 2, 37, 74, 113, 226, 4181, 8362

Least Common Multiple of 8354 and 8362 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 8362, than apply into the LCM equation.

GCF(8354,8362) = 2
LCM(8354,8362) = ( 8354 × 8362) / 2
LCM(8354,8362) = 69856148 / 2
LCM(8354,8362) = 34928074

Properties of LCM 8354 and 8362

(i) The LCM of 8362 and 8354 is associative

LCM of 8354 and 8362 = LCM of 8362 and 8354

Related Least Common Multiples of 8354

Related Least Common Multiples of 8362

Frequently Asked Questions on LCM of 8354 and 8362

1. What is the LCM of 8354 and 8362?

Answer: LCM of 8354 and 8362 is 34928074.

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 8362?

Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.

4. How to Find the LCM of 8354 and 8362?

Answer:

Least Common Multiple of 8354 and 8362 = 34928074

Step 1: Find the prime factorization of 8354

8354 = 2 x 4177

Step 2: Find the prime factorization of 8362

8362 = 2 x 37 x 113

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

LCM = 34928074 = 2 x 37 x 113 x 4177

Step 4: Therefore, the least common multiple of 8354 and 8362 is 34928074.