Least Common Multiple of 8235 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 8235 and 8240 the smallest integer that is 13571280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8235 and 8240 is 13571280.

LCM(8235,8240) = 13571280

LCM of 8235 and 8240

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

LCM of:
and

Least Common Multiple of 8235 and 8240

LCM of 8235 and 8240 is 13571280

Least common multiple can be found by multiplying the highest exponent prime factors of 8235 and 8240. First we will calculate the prime factors of 8235 and 8240.

Prime Factorization of 8235


3 8235
3 2745
3 915
5 305
61 61
1

Prime factors of 8235 are 3, 5,61. Prime factorization of 8235 in exponential form is:

8235 = 33×51×611

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 8235 and 8240.

LCM(8235,8240) = 24×33×51×611×1031
LCM(8235,8240) = 13571280

Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235

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 8235 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 8235 and 8240, than apply into the LCM equation.

GCF(8235,8240) = 5
LCM(8235,8240) = ( 8235 × 8240) / 5
LCM(8235,8240) = 67856400 / 5
LCM(8235,8240) = 13571280

Properties of LCM 8235 and 8240

(i) The LCM of 8240 and 8235 is associative

LCM of 8235 and 8240 = LCM of 8240 and 8235

Related Least Common Multiples of 8235

Related Least Common Multiples of 8240

Frequently Asked Questions on LCM of 8235 and 8240

1. What is the LCM of 8235 and 8240?

Answer: LCM of 8235 and 8240 is 13571280.

2. What are the Factors of 8235?

Answer: Factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235. There are 16 integers that are factors of 8235. The greatest factor of 8235 is 8235.

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 8235 and 8240?

Answer:

Least Common Multiple of 8235 and 8240 = 13571280

Step 1: Find the prime factorization of 8235

8235 = 3 x 3 x 3 x 5 x 61

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 = 13571280 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 61 x 103

Step 4: Therefore, the least common multiple of 8235 and 8240 is 13571280.