Least Common Multiple of 4594 and 4602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4594 and 4602 the smallest integer that is 10570794 that is divisible by both numbers.

Least Common Multiple (LCM) of 4594 and 4602 is 10570794.

LCM(4594,4602) = 10570794

LCM of 4594 and 4602

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

LCM of:
and

Least Common Multiple of 4594 and 4602

LCM of 4594 and 4602 is 10570794

Least common multiple can be found by multiplying the highest exponent prime factors of 4594 and 4602. First we will calculate the prime factors of 4594 and 4602.

Prime Factorization of 4594


2 4594
2297 2297
1

Prime factors of 4594 are 2,2297. Prime factorization of 4594 in exponential form is:

4594 = 21×22971

Prime Factorization of 4602


2 4602
3 2301
13 767
59 59
1

Prime factors of 4602 are 2, 3, 13,59. Prime factorization of 4602 in exponential form is:

4602 = 21×31×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4594 and 4602.

LCM(4594,4602) = 21×31×131×591×22971
LCM(4594,4602) = 10570794

Factors of 4594

List of positive integer factors of 4594 that divides 4594 without a remainder.

1, 2, 2297, 4594

Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602

Least Common Multiple of 4594 and 4602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4594 and 4602, than apply into the LCM equation.

GCF(4594,4602) = 2
LCM(4594,4602) = ( 4594 × 4602) / 2
LCM(4594,4602) = 21141588 / 2
LCM(4594,4602) = 10570794

Properties of LCM 4594 and 4602

(i) The LCM of 4602 and 4594 is associative

LCM of 4594 and 4602 = LCM of 4602 and 4594

Related Least Common Multiples of 4594

Related Least Common Multiples of 4602

Frequently Asked Questions on LCM of 4594 and 4602

1. What is the LCM of 4594 and 4602?

Answer: LCM of 4594 and 4602 is 10570794.

2. What are the Factors of 4594?

Answer: Factors of 4594 are 1, 2, 2297, 4594. There are 4 integers that are factors of 4594. The greatest factor of 4594 is 4594.

3. What are the Factors of 4602?

Answer: Factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602. There are 16 integers that are factors of 4602. The greatest factor of 4602 is 4602.

4. How to Find the LCM of 4594 and 4602?

Answer:

Least Common Multiple of 4594 and 4602 = 10570794

Step 1: Find the prime factorization of 4594

4594 = 2 x 2297

Step 2: Find the prime factorization of 4602

4602 = 2 x 3 x 13 x 59

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

LCM = 10570794 = 2 x 3 x 13 x 59 x 2297

Step 4: Therefore, the least common multiple of 4594 and 4602 is 10570794.