Least Common Multiple of 8234 and 8240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8234 and 8240 the smallest integer that is 33924080 that is divisible by both numbers.

Least Common Multiple (LCM) of 8234 and 8240 is 33924080.

LCM(8234,8240) = 33924080

LCM of 8234 and 8240

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

LCM of:
and

Least Common Multiple of 8234 and 8240

LCM of 8234 and 8240 is 33924080

Least common multiple can be found by multiplying the highest exponent prime factors of 8234 and 8240. First we will calculate the prime factors of 8234 and 8240.

Prime Factorization of 8234


2 8234
23 4117
179 179
1

Prime factors of 8234 are 2, 23,179. Prime factorization of 8234 in exponential form is:

8234 = 21×231×1791

Prime Factorization of 8240


2 8240
2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 8240 are 2, 5,103. Prime factorization of 8240 in exponential form is:

8240 = 24×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8234 and 8240.

LCM(8234,8240) = 24×51×231×1031×1791
LCM(8234,8240) = 33924080

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1, 2, 23, 46, 179, 358, 4117, 8234

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240

Least Common Multiple of 8234 and 8240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8234 and 8240, than apply into the LCM equation.

GCF(8234,8240) = 2
LCM(8234,8240) = ( 8234 × 8240) / 2
LCM(8234,8240) = 67848160 / 2
LCM(8234,8240) = 33924080

Properties of LCM 8234 and 8240

(i) The LCM of 8240 and 8234 is associative

LCM of 8234 and 8240 = LCM of 8240 and 8234

Related Least Common Multiples of 8234

Related Least Common Multiples of 8240

Frequently Asked Questions on LCM of 8234 and 8240

1. What is the LCM of 8234 and 8240?

Answer: LCM of 8234 and 8240 is 33924080.

2. What are the Factors of 8234?

Answer: Factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234. There are 8 integers that are factors of 8234. The greatest factor of 8234 is 8234.

3. What are the Factors of 8240?

Answer: Factors of 8240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240. There are 20 integers that are factors of 8240. The greatest factor of 8240 is 8240.

4. How to Find the LCM of 8234 and 8240?

Answer:

Least Common Multiple of 8234 and 8240 = 33924080

Step 1: Find the prime factorization of 8234

8234 = 2 x 23 x 179

Step 2: Find the prime factorization of 8240

8240 = 2 x 2 x 2 x 2 x 5 x 103

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

LCM = 33924080 = 2 x 2 x 2 x 2 x 5 x 23 x 103 x 179

Step 4: Therefore, the least common multiple of 8234 and 8240 is 33924080.