Least Common Multiple of 4574 and 4578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4574 and 4578 the smallest integer that is 10469886 that is divisible by both numbers.

Least Common Multiple (LCM) of 4574 and 4578 is 10469886.

LCM(4574,4578) = 10469886

LCM of 4574 and 4578

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

LCM of:
and

Least Common Multiple of 4574 and 4578

LCM of 4574 and 4578 is 10469886

Least common multiple can be found by multiplying the highest exponent prime factors of 4574 and 4578. First we will calculate the prime factors of 4574 and 4578.

Prime Factorization of 4574


2 4574
2287 2287
1

Prime factors of 4574 are 2,2287. Prime factorization of 4574 in exponential form is:

4574 = 21×22871

Prime Factorization of 4578


2 4578
3 2289
7 763
109 109
1

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 4574 and 4578.

LCM(4574,4578) = 21×31×71×1091×22871
LCM(4574,4578) = 10469886

Factors of 4574

List of positive integer factors of 4574 that divides 4574 without a remainder.

1, 2, 2287, 4574

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

Least Common Multiple of 4574 and 4578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4574 and 4578, than apply into the LCM equation.

GCF(4574,4578) = 2
LCM(4574,4578) = ( 4574 × 4578) / 2
LCM(4574,4578) = 20939772 / 2
LCM(4574,4578) = 10469886

Properties of LCM 4574 and 4578

(i) The LCM of 4578 and 4574 is associative

LCM of 4574 and 4578 = LCM of 4578 and 4574

Related Least Common Multiples of 4574

Related Least Common Multiples of 4578

Frequently Asked Questions on LCM of 4574 and 4578

1. What is the LCM of 4574 and 4578?

Answer: LCM of 4574 and 4578 is 10469886.

2. What are the Factors of 4574?

Answer: Factors of 4574 are 1, 2, 2287, 4574. There are 4 integers that are factors of 4574. The greatest factor of 4574 is 4574.

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 4574 and 4578?

Answer:

Least Common Multiple of 4574 and 4578 = 10469886

Step 1: Find the prime factorization of 4574

4574 = 2 x 2287

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 = 10469886 = 2 x 3 x 7 x 109 x 2287

Step 4: Therefore, the least common multiple of 4574 and 4578 is 10469886.