Least Common Multiple of 39243 and 39250

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

• Least Common Multiple of 39243 and 39250 by Prime method
• Least Common Multiple of 39243 and 39250 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39243 and 39250. First we will calculate the prime factors of 39243 and 39250.

Prime Factorization of 39243

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

39243 = 3¹×103¹×127¹

Prime Factorization of 39250

Prime factors of 39250 are 2, 5,157. Prime factorization of 39250 in exponential form is:

39250 = 2¹×5³×157¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39243 and 39250.

LCM(39243,39250) = 2¹×3¹×5³×103¹×127¹×157¹
LCM(39243,39250) = 1540287750

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 39250

List of positive integer factors of 39250 that divides 39250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625, 39250

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39243 and 39250, than apply into the LCM equation.

GCF(39243,39250) = 1
LCM(39243,39250) = ( 39243 × 39250) / 1
LCM(39243,39250) = 1540287750 / 1
LCM(39243,39250) = 1540287750

(i) The LCM of 39250 and 39243 is associative

LCM of 39243 and 39250 = LCM of 39250 and 39243

1. What is the LCM of 39243 and 39250?

Answer: LCM of 39243 and 39250 is 1540287750.

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 39250?

Answer: Factors of 39250 are 1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625, 39250. There are 16 integers that are factors of 39250. The greatest factor of 39250 is 39250.

4. How to Find the LCM of 39243 and 39250?

Answer:

Least Common Multiple of 39243 and 39250 = 1540287750

Step 1: Find the prime factorization of 39243

39243 = 3 x 103 x 127

Step 2: Find the prime factorization of 39250

39250 = 2 x 5 x 5 x 5 x 157

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

LCM = 1540287750 = 2 x 3 x 5 x 5 x 5 x 103 x 127 x 157

Step 4: Therefore, the least common multiple of 39243 and 39250 is 1540287750.