Least Common Multiple of 7566 and 7571

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

• Least Common Multiple of 7566 and 7571 by Prime method
• Least Common Multiple of 7566 and 7571 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7571. First we will calculate the prime factors of 7566 and 7571.

Prime Factorization of 7566

Prime factors of 7566 are 2, 3, 13,97. Prime factorization of 7566 in exponential form is:

7566 = 2¹×3¹×13¹×97¹

Prime Factorization of 7571

Prime factors of 7571 are 67,113. Prime factorization of 7571 in exponential form is:

7571 = 67¹×113¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7571.

LCM(7566,7571) = 2¹×3¹×13¹×67¹×97¹×113¹
LCM(7566,7571) = 57282186

Factors of 7566

List of positive integer factors of 7566 that divides 7566 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566

Factors of 7571

List of positive integer factors of 7571 that divides 7571 without a remainder.

1, 67, 113, 7571

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7566 and 7571, than apply into the LCM equation.

GCF(7566,7571) = 1
LCM(7566,7571) = ( 7566 × 7571) / 1
LCM(7566,7571) = 57282186 / 1
LCM(7566,7571) = 57282186

(i) The LCM of 7571 and 7566 is associative

LCM of 7566 and 7571 = LCM of 7571 and 7566

1. What is the LCM of 7566 and 7571?

Answer: LCM of 7566 and 7571 is 57282186.

2. What are the Factors of 7566?

Answer: Factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566. There are 16 integers that are factors of 7566. The greatest factor of 7566 is 7566.

3. What are the Factors of 7571?

Answer: Factors of 7571 are 1, 67, 113, 7571. There are 4 integers that are factors of 7571. The greatest factor of 7571 is 7571.

4. How to Find the LCM of 7566 and 7571?

Answer:

Least Common Multiple of 7566 and 7571 = 57282186

Step 1: Find the prime factorization of 7566

7566 = 2 x 3 x 13 x 97

Step 2: Find the prime factorization of 7571

7571 = 67 x 113

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

LCM = 57282186 = 2 x 3 x 13 x 67 x 97 x 113

Step 4: Therefore, the least common multiple of 7566 and 7571 is 57282186.