Least Common Multiple of 4573 and 4578

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

• Least Common Multiple of 4573 and 4578 by Prime method
• Least Common Multiple of 4573 and 4578 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4573 and 4578. First we will calculate the prime factors of 4573 and 4578.

Prime Factorization of 4573

Prime factors of 4573 are 17,269. Prime factorization of 4573 in exponential form is:

4573 = 17¹×269¹

Prime Factorization of 4578

Prime factors of 4578 are 2, 3, 7,109. Prime factorization of 4578 in exponential form is:

4578 = 2¹×3¹×7¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 4573 and 4578.

LCM(4573,4578) = 2¹×3¹×7¹×17¹×109¹×269¹
LCM(4573,4578) = 20935194

Factors of 4573

List of positive integer factors of 4573 that divides 4573 without a remainder.

1, 17, 269, 4573

Factors of 4578

List of positive integer factors of 4578 that divides 4578 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4573 and 4578, than apply into the LCM equation.

GCF(4573,4578) = 1
LCM(4573,4578) = ( 4573 × 4578) / 1
LCM(4573,4578) = 20935194 / 1
LCM(4573,4578) = 20935194

(i) The LCM of 4578 and 4573 is associative

LCM of 4573 and 4578 = LCM of 4578 and 4573

1. What is the LCM of 4573 and 4578?

Answer: LCM of 4573 and 4578 is 20935194.

2. What are the Factors of 4573?

Answer: Factors of 4573 are 1, 17, 269, 4573. There are 4 integers that are factors of 4573. The greatest factor of 4573 is 4573.

3. What are the Factors of 4578?

Answer: Factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578. There are 16 integers that are factors of 4578. The greatest factor of 4578 is 4578.

4. How to Find the LCM of 4573 and 4578?

Answer:

Least Common Multiple of 4573 and 4578 = 20935194

Step 1: Find the prime factorization of 4573

4573 = 17 x 269

Step 2: Find the prime factorization of 4578

4578 = 2 x 3 x 7 x 109

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

LCM = 20935194 = 2 x 3 x 7 x 17 x 109 x 269

Step 4: Therefore, the least common multiple of 4573 and 4578 is 20935194.