Least Common Multiple of 4577 and 4578

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

• Least Common Multiple of 4577 and 4578 by Prime method
• Least Common Multiple of 4577 and 4578 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4577 and 4578. First we will calculate the prime factors of 4577 and 4578.

Prime Factorization of 4577

Prime factors of 4577 are 23,199. Prime factorization of 4577 in exponential form is:

4577 = 23¹×199¹

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 4577 and 4578.

LCM(4577,4578) = 2¹×3¹×7¹×23¹×109¹×199¹
LCM(4577,4578) = 20953506

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1, 23, 199, 4577

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 4577 and 4578, than apply into the LCM equation.

GCF(4577,4578) = 1
LCM(4577,4578) = ( 4577 × 4578) / 1
LCM(4577,4578) = 20953506 / 1
LCM(4577,4578) = 20953506

(i) The LCM of 4578 and 4577 is associative

LCM of 4577 and 4578 = LCM of 4578 and 4577

1. What is the LCM of 4577 and 4578?

Answer: LCM of 4577 and 4578 is 20953506.

2. What are the Factors of 4577?

Answer: Factors of 4577 are 1, 23, 199, 4577. There are 4 integers that are factors of 4577. The greatest factor of 4577 is 4577.

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 4577 and 4578?

Answer:

Least Common Multiple of 4577 and 4578 = 20953506

Step 1: Find the prime factorization of 4577

4577 = 23 x 199

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 = 20953506 = 2 x 3 x 7 x 23 x 109 x 199

Step 4: Therefore, the least common multiple of 4577 and 4578 is 20953506.