Least Common Multiple of 39243 and 39247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 39243 and 39247 the smallest integer that is 1540170021 that is divisible by both numbers.

Least Common Multiple (LCM) of 39243 and 39247 is 1540170021.

LCM(39243,39247) = 1540170021

LCM of 39243 and 39247

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

LCM of:
and

Least Common Multiple of 39243 and 39247

LCM of 39243 and 39247 is 1540170021

Least common multiple can be found by multiplying the highest exponent prime factors of 39243 and 39247. First we will calculate the prime factors of 39243 and 39247.

Prime Factorization of 39243


3 39243
103 13081
127 127
1

Prime factors of 39243 are 3, 103,127. Prime factorization of 39243 in exponential form is:

39243 = 31×1031×1271

Prime Factorization of 39247


13 39247
3019 3019
1

Prime factors of 39247 are 13,3019. Prime factorization of 39247 in exponential form is:

39247 = 131×30191

Now multiplying the highest exponent prime factors to calculate the LCM of 39243 and 39247.

LCM(39243,39247) = 31×131×1031×1271×30191
LCM(39243,39247) = 1540170021

Factors of 39243

List of positive integer factors of 39243 that divides 39243 without a remainder.

1, 3, 103, 127, 309, 381, 13081, 39243

Factors of 39247

List of positive integer factors of 39247 that divides 39247 without a remainder.

1, 13, 3019, 39247

Least Common Multiple of 39243 and 39247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39243 and 39247, than apply into the LCM equation.

GCF(39243,39247) = 1
LCM(39243,39247) = ( 39243 × 39247) / 1
LCM(39243,39247) = 1540170021 / 1
LCM(39243,39247) = 1540170021

Properties of LCM 39243 and 39247

(i) The LCM of 39247 and 39243 is associative

LCM of 39243 and 39247 = LCM of 39247 and 39243

Frequently Asked Questions on LCM of 39243 and 39247

1. What is the LCM of 39243 and 39247?

Answer: LCM of 39243 and 39247 is 1540170021.

2. What are the Factors of 39243?

Answer: Factors of 39243 are 1, 3, 103, 127, 309, 381, 13081, 39243. There are 8 integers that are factors of 39243. The greatest factor of 39243 is 39243.

3. What are the Factors of 39247?

Answer: Factors of 39247 are 1, 13, 3019, 39247. There are 4 integers that are factors of 39247. The greatest factor of 39247 is 39247.

4. How to Find the LCM of 39243 and 39247?

Answer:

Least Common Multiple of 39243 and 39247 = 1540170021

Step 1: Find the prime factorization of 39243

39243 = 3 x 103 x 127

Step 2: Find the prime factorization of 39247

39247 = 13 x 3019

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

LCM = 1540170021 = 3 x 13 x 103 x 127 x 3019

Step 4: Therefore, the least common multiple of 39243 and 39247 is 1540170021.