Least Common Multiple of 7583 and 7590

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

• Least Common Multiple of 7583 and 7590 by Prime method
• Least Common Multiple of 7583 and 7590 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7583 and 7590. First we will calculate the prime factors of 7583 and 7590.

Prime Factorization of 7583

Prime factors of 7583 are 7583. Prime factorization of 7583 in exponential form is:

7583 = 7583¹

Prime Factorization of 7590

Prime factors of 7590 are 2, 3, 5, 11,23. Prime factorization of 7590 in exponential form is:

7590 = 2¹×3¹×5¹×11¹×23¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7583 and 7590.

LCM(7583,7590) = 2¹×3¹×5¹×11¹×23¹×7583¹
LCM(7583,7590) = 57554970

Factors of 7583

List of positive integer factors of 7583 that divides 7583 without a remainder.

1, 7583

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7583 and 7590, than apply into the LCM equation.

GCF(7583,7590) = 1
LCM(7583,7590) = ( 7583 × 7590) / 1
LCM(7583,7590) = 57554970 / 1
LCM(7583,7590) = 57554970

(i) The LCM of 7590 and 7583 is associative

LCM of 7583 and 7590 = LCM of 7590 and 7583

1. What is the LCM of 7583 and 7590?

Answer: LCM of 7583 and 7590 is 57554970.

2. What are the Factors of 7583?

Answer: Factors of 7583 are 1, 7583. There are 2 integers that are factors of 7583. The greatest factor of 7583 is 7583.

3. What are the Factors of 7590?

Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.

4. How to Find the LCM of 7583 and 7590?

Answer:

Least Common Multiple of 7583 and 7590 = 57554970

Step 1: Find the prime factorization of 7583

7583 = 7583

Step 2: Find the prime factorization of 7590

7590 = 2 x 3 x 5 x 11 x 23

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

LCM = 57554970 = 2 x 3 x 5 x 11 x 23 x 7583

Step 4: Therefore, the least common multiple of 7583 and 7590 is 57554970.