Least Common Multiple of 36025 and 36029

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

• Least Common Multiple of 36025 and 36029 by Prime method
• Least Common Multiple of 36025 and 36029 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36025 and 36029. First we will calculate the prime factors of 36025 and 36029.

Prime Factorization of 36025

Prime factors of 36025 are 5, 11,131. Prime factorization of 36025 in exponential form is:

36025 = 5²×11¹×131¹

Prime Factorization of 36029

Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:

36029 = 7¹×5147¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36025 and 36029.

LCM(36025,36029) = 5²×7¹×11¹×131¹×5147¹
LCM(36025,36029) = 1297944725

Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025

Factors of 36029

List of positive integer factors of 36029 that divides 36029 without a remainder.

1, 7, 5147, 36029

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36025 and 36029, than apply into the LCM equation.

GCF(36025,36029) = 1
LCM(36025,36029) = ( 36025 × 36029) / 1
LCM(36025,36029) = 1297944725 / 1
LCM(36025,36029) = 1297944725

(i) The LCM of 36029 and 36025 is associative

LCM of 36025 and 36029 = LCM of 36029 and 36025

1. What is the LCM of 36025 and 36029?

Answer: LCM of 36025 and 36029 is 1297944725.

2. What are the Factors of 36025?

Answer: Factors of 36025 are 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025. There are 12 integers that are factors of 36025. The greatest factor of 36025 is 36025.

3. What are the Factors of 36029?

Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.

4. How to Find the LCM of 36025 and 36029?

Answer:

Least Common Multiple of 36025 and 36029 = 1297944725

Step 1: Find the prime factorization of 36025

36025 = 5 x 5 x 11 x 131

Step 2: Find the prime factorization of 36029

36029 = 7 x 5147

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

LCM = 1297944725 = 5 x 5 x 7 x 11 x 131 x 5147

Step 4: Therefore, the least common multiple of 36025 and 36029 is 1297944725.