Least Common Multiple of 8232 and 8237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8232 and 8237 the smallest integer that is 67806984 that is divisible by both numbers.

Least Common Multiple (LCM) of 8232 and 8237 is 67806984.

LCM(8232,8237) = 67806984

LCM of 8232 and 8237

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

LCM of:
and

Least Common Multiple of 8232 and 8237

LCM of 8232 and 8237 is 67806984

Least common multiple can be found by multiplying the highest exponent prime factors of 8232 and 8237. First we will calculate the prime factors of 8232 and 8237.

Prime Factorization of 8232


2 8232
2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 8232 are 2, 3,7. Prime factorization of 8232 in exponential form is:

8232 = 23×31×73

Prime Factorization of 8237


8237 8237
1

Prime factors of 8237 are 8237. Prime factorization of 8237 in exponential form is:

8237 = 82371

Now multiplying the highest exponent prime factors to calculate the LCM of 8232 and 8237.

LCM(8232,8237) = 23×31×73×82371
LCM(8232,8237) = 67806984

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

Factors of 8237

List of positive integer factors of 8237 that divides 8237 without a remainder.

1, 8237

Least Common Multiple of 8232 and 8237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8232 and 8237, than apply into the LCM equation.

GCF(8232,8237) = 1
LCM(8232,8237) = ( 8232 × 8237) / 1
LCM(8232,8237) = 67806984 / 1
LCM(8232,8237) = 67806984

Properties of LCM 8232 and 8237

(i) The LCM of 8237 and 8232 is associative

LCM of 8232 and 8237 = LCM of 8237 and 8232

Related Least Common Multiples of 8232

Related Least Common Multiples of 8237

Frequently Asked Questions on LCM of 8232 and 8237

1. What is the LCM of 8232 and 8237?

Answer: LCM of 8232 and 8237 is 67806984.

2. What are the Factors of 8232?

Answer: Factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232. There are 32 integers that are factors of 8232. The greatest factor of 8232 is 8232.

3. What are the Factors of 8237?

Answer: Factors of 8237 are 1, 8237. There are 2 integers that are factors of 8237. The greatest factor of 8237 is 8237.

4. How to Find the LCM of 8232 and 8237?

Answer:

Least Common Multiple of 8232 and 8237 = 67806984

Step 1: Find the prime factorization of 8232

8232 = 2 x 2 x 2 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 8237

8237 = 8237

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

LCM = 67806984 = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 8237

Step 4: Therefore, the least common multiple of 8232 and 8237 is 67806984.