Least Common Multiple of 8233 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 8233 and 8240 the smallest integer that is 67839920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8233 and 8240 is 67839920.

LCM(8233,8240) = 67839920

LCM of 8233 and 8240

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

LCM of:
and

Least Common Multiple of 8233 and 8240

LCM of 8233 and 8240 is 67839920

Least common multiple can be found by multiplying the highest exponent prime factors of 8233 and 8240. First we will calculate the prime factors of 8233 and 8240.

Prime Factorization of 8233


8233 8233
1

Prime factors of 8233 are 8233. Prime factorization of 8233 in exponential form is:

8233 = 82331

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 8233 and 8240.

LCM(8233,8240) = 24×51×1031×82331
LCM(8233,8240) = 67839920

Factors of 8233

List of positive integer factors of 8233 that divides 8233 without a remainder.

1, 8233

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 8233 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 8233 and 8240, than apply into the LCM equation.

GCF(8233,8240) = 1
LCM(8233,8240) = ( 8233 × 8240) / 1
LCM(8233,8240) = 67839920 / 1
LCM(8233,8240) = 67839920

Properties of LCM 8233 and 8240

(i) The LCM of 8240 and 8233 is associative

LCM of 8233 and 8240 = LCM of 8240 and 8233

Related Least Common Multiples of 8233

Related Least Common Multiples of 8240

Frequently Asked Questions on LCM of 8233 and 8240

1. What is the LCM of 8233 and 8240?

Answer: LCM of 8233 and 8240 is 67839920.

2. What are the Factors of 8233?

Answer: Factors of 8233 are 1, 8233. There are 2 integers that are factors of 8233. The greatest factor of 8233 is 8233.

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 8233 and 8240?

Answer:

Least Common Multiple of 8233 and 8240 = 67839920

Step 1: Find the prime factorization of 8233

8233 = 8233

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 = 67839920 = 2 x 2 x 2 x 2 x 5 x 103 x 8233

Step 4: Therefore, the least common multiple of 8233 and 8240 is 67839920.