Least Common Multiple of 36026 and 36033

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

• Least Common Multiple of 36026 and 36033 by Prime method
• Least Common Multiple of 36026 and 36033 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36026 and 36033. First we will calculate the prime factors of 36026 and 36033.

Prime Factorization of 36026

Prime factors of 36026 are 2,18013. Prime factorization of 36026 in exponential form is:

36026 = 2¹×18013¹

Prime Factorization of 36033

Prime factors of 36033 are 3,12011. Prime factorization of 36033 in exponential form is:

36033 = 3¹×12011¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36026 and 36033.

LCM(36026,36033) = 2¹×3¹×12011¹×18013¹
LCM(36026,36033) = 1298124858

Factors of 36026

List of positive integer factors of 36026 that divides 36026 without a remainder.

1, 2, 18013, 36026

Factors of 36033

List of positive integer factors of 36033 that divides 36033 without a remainder.

1, 3, 12011, 36033

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36026 and 36033, than apply into the LCM equation.

GCF(36026,36033) = 1
LCM(36026,36033) = ( 36026 × 36033) / 1
LCM(36026,36033) = 1298124858 / 1
LCM(36026,36033) = 1298124858

(i) The LCM of 36033 and 36026 is associative

LCM of 36026 and 36033 = LCM of 36033 and 36026

1. What is the LCM of 36026 and 36033?

Answer: LCM of 36026 and 36033 is 1298124858.

2. What are the Factors of 36026?

Answer: Factors of 36026 are 1, 2, 18013, 36026. There are 4 integers that are factors of 36026. The greatest factor of 36026 is 36026.

3. What are the Factors of 36033?

Answer: Factors of 36033 are 1, 3, 12011, 36033. There are 4 integers that are factors of 36033. The greatest factor of 36033 is 36033.

4. How to Find the LCM of 36026 and 36033?

Answer:

Least Common Multiple of 36026 and 36033 = 1298124858

Step 1: Find the prime factorization of 36026

36026 = 2 x 18013

Step 2: Find the prime factorization of 36033

36033 = 3 x 12011

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

LCM = 1298124858 = 2 x 3 x 12011 x 18013

Step 4: Therefore, the least common multiple of 36026 and 36033 is 1298124858.