Least Common Multiple of 39243 and 39249

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 39249 the smallest integer that is 513416169 that is divisible by both numbers.

Least Common Multiple (LCM) of 39243 and 39249 is 513416169.

LCM(39243,39249) = 513416169

LCM of 39243 and 39249

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

LCM of:
and

Least Common Multiple of 39243 and 39249

LCM of 39243 and 39249 is 513416169

Least common multiple can be found by multiplying the highest exponent prime factors of 39243 and 39249. First we will calculate the prime factors of 39243 and 39249.

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 39249


3 39249
3 13083
7 4361
7 623
89 89
1

Prime factors of 39249 are 3, 7,89. Prime factorization of 39249 in exponential form is:

39249 = 32×72×891

Now multiplying the highest exponent prime factors to calculate the LCM of 39243 and 39249.

LCM(39243,39249) = 32×72×891×1031×1271
LCM(39243,39249) = 513416169

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 39249

List of positive integer factors of 39249 that divides 39249 without a remainder.

1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249

Least Common Multiple of 39243 and 39249 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 39249, than apply into the LCM equation.

GCF(39243,39249) = 3
LCM(39243,39249) = ( 39243 × 39249) / 3
LCM(39243,39249) = 1540248507 / 3
LCM(39243,39249) = 513416169

Properties of LCM 39243 and 39249

(i) The LCM of 39249 and 39243 is associative

LCM of 39243 and 39249 = LCM of 39249 and 39243

Related Least Common Multiples of 39243

Related Least Common Multiples of 39249

Frequently Asked Questions on LCM of 39243 and 39249

1. What is the LCM of 39243 and 39249?

Answer: LCM of 39243 and 39249 is 513416169.

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 39249?

Answer: Factors of 39249 are 1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249. There are 18 integers that are factors of 39249. The greatest factor of 39249 is 39249.

4. How to Find the LCM of 39243 and 39249?

Answer:

Least Common Multiple of 39243 and 39249 = 513416169

Step 1: Find the prime factorization of 39243

39243 = 3 x 103 x 127

Step 2: Find the prime factorization of 39249

39249 = 3 x 3 x 7 x 7 x 89

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

LCM = 513416169 = 3 x 3 x 7 x 7 x 89 x 103 x 127

Step 4: Therefore, the least common multiple of 39243 and 39249 is 513416169.