Least Common Multiple of 36083 and 36090

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

• Least Common Multiple of 36083 and 36090 by Prime method
• Least Common Multiple of 36083 and 36090 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36083 and 36090. First we will calculate the prime factors of 36083 and 36090.

Prime Factorization of 36083

Prime factors of 36083 are 36083. Prime factorization of 36083 in exponential form is:

36083 = 36083¹

Prime Factorization of 36090

Prime factors of 36090 are 2, 3, 5,401. Prime factorization of 36090 in exponential form is:

36090 = 2¹×3²×5¹×401¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36083 and 36090.

LCM(36083,36090) = 2¹×3²×5¹×401¹×36083¹
LCM(36083,36090) = 1302235470

Factors of 36083

List of positive integer factors of 36083 that divides 36083 without a remainder.

1, 36083

Factors of 36090

List of positive integer factors of 36090 that divides 36090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 401, 802, 1203, 2005, 2406, 3609, 4010, 6015, 7218, 12030, 18045, 36090

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36083 and 36090, than apply into the LCM equation.

GCF(36083,36090) = 1
LCM(36083,36090) = ( 36083 × 36090) / 1
LCM(36083,36090) = 1302235470 / 1
LCM(36083,36090) = 1302235470

(i) The LCM of 36090 and 36083 is associative

LCM of 36083 and 36090 = LCM of 36090 and 36083

1. What is the LCM of 36083 and 36090?

Answer: LCM of 36083 and 36090 is 1302235470.

2. What are the Factors of 36083?

Answer: Factors of 36083 are 1, 36083. There are 2 integers that are factors of 36083. The greatest factor of 36083 is 36083.

3. What are the Factors of 36090?

Answer: Factors of 36090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 401, 802, 1203, 2005, 2406, 3609, 4010, 6015, 7218, 12030, 18045, 36090. There are 24 integers that are factors of 36090. The greatest factor of 36090 is 36090.

4. How to Find the LCM of 36083 and 36090?

Answer:

Least Common Multiple of 36083 and 36090 = 1302235470

Step 1: Find the prime factorization of 36083

36083 = 36083

Step 2: Find the prime factorization of 36090

36090 = 2 x 3 x 3 x 5 x 401

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

LCM = 1302235470 = 2 x 3 x 3 x 5 x 401 x 36083

Step 4: Therefore, the least common multiple of 36083 and 36090 is 1302235470.