Least Common Multiple of 4578 and 4583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4578 and 4583 the smallest integer that is 20980974 that is divisible by both numbers.

Least Common Multiple (LCM) of 4578 and 4583 is 20980974.

LCM(4578,4583) = 20980974

LCM of 4578 and 4583

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

LCM of:
and

Least Common Multiple of 4578 and 4583

LCM of 4578 and 4583 is 20980974

Least common multiple can be found by multiplying the highest exponent prime factors of 4578 and 4583. First we will calculate the prime factors of 4578 and 4583.

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

Prime Factorization of 4583


4583 4583
1

Prime factors of 4583 are 4583. Prime factorization of 4583 in exponential form is:

4583 = 45831

Now multiplying the highest exponent prime factors to calculate the LCM of 4578 and 4583.

LCM(4578,4583) = 21×31×71×1091×45831
LCM(4578,4583) = 20980974

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

Factors of 4583

List of positive integer factors of 4583 that divides 4583 without a remainder.

1, 4583

Least Common Multiple of 4578 and 4583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4578 and 4583, than apply into the LCM equation.

GCF(4578,4583) = 1
LCM(4578,4583) = ( 4578 × 4583) / 1
LCM(4578,4583) = 20980974 / 1
LCM(4578,4583) = 20980974

Properties of LCM 4578 and 4583

(i) The LCM of 4583 and 4578 is associative

LCM of 4578 and 4583 = LCM of 4583 and 4578

Related Least Common Multiples of 4578

Related Least Common Multiples of 4583

Frequently Asked Questions on LCM of 4578 and 4583

1. What is the LCM of 4578 and 4583?

Answer: LCM of 4578 and 4583 is 20980974.

2. 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.

3. What are the Factors of 4583?

Answer: Factors of 4583 are 1, 4583. There are 2 integers that are factors of 4583. The greatest factor of 4583 is 4583.

4. How to Find the LCM of 4578 and 4583?

Answer:

Least Common Multiple of 4578 and 4583 = 20980974

Step 1: Find the prime factorization of 4578

4578 = 2 x 3 x 7 x 109

Step 2: Find the prime factorization of 4583

4583 = 4583

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

LCM = 20980974 = 2 x 3 x 7 x 109 x 4583

Step 4: Therefore, the least common multiple of 4578 and 4583 is 20980974.