Least Common Multiple of 8354 and 8360

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 8360 the smallest integer that is 34919720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8354 and 8360 is 34919720.

LCM(8354,8360) = 34919720

LCM of 8354 and 8360

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

LCM of:
and

Least Common Multiple of 8354 and 8360

LCM of 8354 and 8360 is 34919720

Least common multiple can be found by multiplying the highest exponent prime factors of 8354 and 8360. First we will calculate the prime factors of 8354 and 8360.

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 8360


2 8360
2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 8360 are 2, 5, 11,19. Prime factorization of 8360 in exponential form is:

8360 = 23×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8354 and 8360.

LCM(8354,8360) = 23×51×111×191×41771
LCM(8354,8360) = 34919720

Factors of 8354

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

1, 2, 4177, 8354

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360

Least Common Multiple of 8354 and 8360 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 8360, than apply into the LCM equation.

GCF(8354,8360) = 2
LCM(8354,8360) = ( 8354 × 8360) / 2
LCM(8354,8360) = 69839440 / 2
LCM(8354,8360) = 34919720

Properties of LCM 8354 and 8360

(i) The LCM of 8360 and 8354 is associative

LCM of 8354 and 8360 = LCM of 8360 and 8354

Related Least Common Multiples of 8354

Related Least Common Multiples of 8360

Frequently Asked Questions on LCM of 8354 and 8360

1. What is the LCM of 8354 and 8360?

Answer: LCM of 8354 and 8360 is 34919720.

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 8360?

Answer: Factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360. There are 32 integers that are factors of 8360. The greatest factor of 8360 is 8360.

4. How to Find the LCM of 8354 and 8360?

Answer:

Least Common Multiple of 8354 and 8360 = 34919720

Step 1: Find the prime factorization of 8354

8354 = 2 x 4177

Step 2: Find the prime factorization of 8360

8360 = 2 x 2 x 2 x 5 x 11 x 19

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

LCM = 34919720 = 2 x 2 x 2 x 5 x 11 x 19 x 4177

Step 4: Therefore, the least common multiple of 8354 and 8360 is 34919720.