Least Common Multiple of 39242 and 39249

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

• Least Common Multiple of 39242 and 39249 by Prime method
• Least Common Multiple of 39242 and 39249 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39242 and 39249. First we will calculate the prime factors of 39242 and 39249.

Prime Factorization of 39242

Prime factors of 39242 are 2, 7,2803. Prime factorization of 39242 in exponential form is:

39242 = 2¹×7¹×2803¹

Prime Factorization of 39249

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 39242 and 39249.

LCM(39242,39249) = 2¹×3²×7²×89¹×2803¹
LCM(39242,39249) = 220029894

Factors of 39242

List of positive integer factors of 39242 that divides 39242 without a remainder.

1, 2, 7, 14, 2803, 5606, 19621, 39242

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39242 and 39249, than apply into the LCM equation.

GCF(39242,39249) = 7
LCM(39242,39249) = ( 39242 × 39249) / 7
LCM(39242,39249) = 1540209258 / 7
LCM(39242,39249) = 220029894

(i) The LCM of 39249 and 39242 is associative

LCM of 39242 and 39249 = LCM of 39249 and 39242

1. What is the LCM of 39242 and 39249?

Answer: LCM of 39242 and 39249 is 220029894.

2. What are the Factors of 39242?

Answer: Factors of 39242 are 1, 2, 7, 14, 2803, 5606, 19621, 39242. There are 8 integers that are factors of 39242. The greatest factor of 39242 is 39242.

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 39242 and 39249?

Answer:

Least Common Multiple of 39242 and 39249 = 220029894

Step 1: Find the prime factorization of 39242

39242 = 2 x 7 x 2803

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 = 220029894 = 2 x 3 x 3 x 7 x 7 x 89 x 2803

Step 4: Therefore, the least common multiple of 39242 and 39249 is 220029894.