Least Common Multiple of 39253 and 39260

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

• Least Common Multiple of 39253 and 39260 by Prime method
• Least Common Multiple of 39253 and 39260 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39253 and 39260. First we will calculate the prime factors of 39253 and 39260.

Prime Factorization of 39253

Prime factors of 39253 are 17,2309. Prime factorization of 39253 in exponential form is:

39253 = 17¹×2309¹

Prime Factorization of 39260

Prime factors of 39260 are 2, 5, 13,151. Prime factorization of 39260 in exponential form is:

39260 = 2²×5¹×13¹×151¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39253 and 39260.

LCM(39253,39260) = 2²×5¹×13¹×17¹×151¹×2309¹
LCM(39253,39260) = 1541072780

Factors of 39253

List of positive integer factors of 39253 that divides 39253 without a remainder.

1, 17, 2309, 39253

Factors of 39260

List of positive integer factors of 39260 that divides 39260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 151, 260, 302, 604, 755, 1510, 1963, 3020, 3926, 7852, 9815, 19630, 39260

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39253 and 39260, than apply into the LCM equation.

GCF(39253,39260) = 1
LCM(39253,39260) = ( 39253 × 39260) / 1
LCM(39253,39260) = 1541072780 / 1
LCM(39253,39260) = 1541072780

(i) The LCM of 39260 and 39253 is associative

LCM of 39253 and 39260 = LCM of 39260 and 39253

1. What is the LCM of 39253 and 39260?

Answer: LCM of 39253 and 39260 is 1541072780.

2. What are the Factors of 39253?

Answer: Factors of 39253 are 1, 17, 2309, 39253. There are 4 integers that are factors of 39253. The greatest factor of 39253 is 39253.

3. What are the Factors of 39260?

Answer: Factors of 39260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 151, 260, 302, 604, 755, 1510, 1963, 3020, 3926, 7852, 9815, 19630, 39260. There are 24 integers that are factors of 39260. The greatest factor of 39260 is 39260.

4. How to Find the LCM of 39253 and 39260?

Answer:

Least Common Multiple of 39253 and 39260 = 1541072780

Step 1: Find the prime factorization of 39253

39253 = 17 x 2309

Step 2: Find the prime factorization of 39260

39260 = 2 x 2 x 5 x 13 x 151

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

LCM = 1541072780 = 2 x 2 x 5 x 13 x 17 x 151 x 2309

Step 4: Therefore, the least common multiple of 39253 and 39260 is 1541072780.