Least Common Multiple of 39052 and 39059

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

• Least Common Multiple of 39052 and 39059 by Prime method
• Least Common Multiple of 39052 and 39059 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39052 and 39059. First we will calculate the prime factors of 39052 and 39059.

Prime Factorization of 39052

Prime factors of 39052 are 2, 13,751. Prime factorization of 39052 in exponential form is:

39052 = 2²×13¹×751¹

Prime Factorization of 39059

Prime factors of 39059 are 139,281. Prime factorization of 39059 in exponential form is:

39059 = 139¹×281¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39052 and 39059.

LCM(39052,39059) = 2²×13¹×139¹×281¹×751¹
LCM(39052,39059) = 1525332068

Factors of 39052

List of positive integer factors of 39052 that divides 39052 without a remainder.

1, 2, 4, 13, 26, 52, 751, 1502, 3004, 9763, 19526, 39052

Factors of 39059

List of positive integer factors of 39059 that divides 39059 without a remainder.

1, 139, 281, 39059

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39052 and 39059, than apply into the LCM equation.

GCF(39052,39059) = 1
LCM(39052,39059) = ( 39052 × 39059) / 1
LCM(39052,39059) = 1525332068 / 1
LCM(39052,39059) = 1525332068

(i) The LCM of 39059 and 39052 is associative

LCM of 39052 and 39059 = LCM of 39059 and 39052

1. What is the LCM of 39052 and 39059?

Answer: LCM of 39052 and 39059 is 1525332068.

2. What are the Factors of 39052?

Answer: Factors of 39052 are 1, 2, 4, 13, 26, 52, 751, 1502, 3004, 9763, 19526, 39052. There are 12 integers that are factors of 39052. The greatest factor of 39052 is 39052.

3. What are the Factors of 39059?

Answer: Factors of 39059 are 1, 139, 281, 39059. There are 4 integers that are factors of 39059. The greatest factor of 39059 is 39059.

4. How to Find the LCM of 39052 and 39059?

Answer:

Least Common Multiple of 39052 and 39059 = 1525332068

Step 1: Find the prime factorization of 39052

39052 = 2 x 2 x 13 x 751

Step 2: Find the prime factorization of 39059

39059 = 139 x 281

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

LCM = 1525332068 = 2 x 2 x 13 x 139 x 281 x 751

Step 4: Therefore, the least common multiple of 39052 and 39059 is 1525332068.