Least Common Multiple of 8240 and 8244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8240 and 8244 the smallest integer that is 16982640 that is divisible by both numbers.

Least Common Multiple (LCM) of 8240 and 8244 is 16982640.

LCM(8240,8244) = 16982640

LCM of 8240 and 8244

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

LCM of:
and

Least Common Multiple of 8240 and 8244

LCM of 8240 and 8244 is 16982640

Least common multiple can be found by multiplying the highest exponent prime factors of 8240 and 8244. First we will calculate the prime factors of 8240 and 8244.

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

Prime Factorization of 8244


2 8244
2 4122
3 2061
3 687
229 229
1

Prime factors of 8244 are 2, 3,229. Prime factorization of 8244 in exponential form is:

8244 = 22×32×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8240 and 8244.

LCM(8240,8244) = 24×32×51×1031×2291
LCM(8240,8244) = 16982640

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

Factors of 8244

List of positive integer factors of 8244 that divides 8244 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244

Least Common Multiple of 8240 and 8244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8240 and 8244, than apply into the LCM equation.

GCF(8240,8244) = 4
LCM(8240,8244) = ( 8240 × 8244) / 4
LCM(8240,8244) = 67930560 / 4
LCM(8240,8244) = 16982640

Properties of LCM 8240 and 8244

(i) The LCM of 8244 and 8240 is associative

LCM of 8240 and 8244 = LCM of 8244 and 8240

Related Least Common Multiples of 8240

Related Least Common Multiples of 8244

Frequently Asked Questions on LCM of 8240 and 8244

1. What is the LCM of 8240 and 8244?

Answer: LCM of 8240 and 8244 is 16982640.

2. 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.

3. What are the Factors of 8244?

Answer: Factors of 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244. There are 18 integers that are factors of 8244. The greatest factor of 8244 is 8244.

4. How to Find the LCM of 8240 and 8244?

Answer:

Least Common Multiple of 8240 and 8244 = 16982640

Step 1: Find the prime factorization of 8240

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

Step 2: Find the prime factorization of 8244

8244 = 2 x 2 x 3 x 3 x 229

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

LCM = 16982640 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 103 x 229

Step 4: Therefore, the least common multiple of 8240 and 8244 is 16982640.