Least Common Multiple of 4597 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 4597 and 4602 the smallest integer that is 21155394 that is divisible by both numbers.

Least Common Multiple (LCM) of 4597 and 4602 is 21155394.

LCM(4597,4602) = 21155394

LCM of 4597 and 4602

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

LCM of:
and

Least Common Multiple of 4597 and 4602

LCM of 4597 and 4602 is 21155394

Least common multiple can be found by multiplying the highest exponent prime factors of 4597 and 4602. First we will calculate the prime factors of 4597 and 4602.

Prime Factorization of 4597


4597 4597
1

Prime factors of 4597 are 4597. Prime factorization of 4597 in exponential form is:

4597 = 45971

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 4597 and 4602.

LCM(4597,4602) = 21×31×131×591×45971
LCM(4597,4602) = 21155394

Factors of 4597

List of positive integer factors of 4597 that divides 4597 without a remainder.

1, 4597

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 4597 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 4597 and 4602, than apply into the LCM equation.

GCF(4597,4602) = 1
LCM(4597,4602) = ( 4597 × 4602) / 1
LCM(4597,4602) = 21155394 / 1
LCM(4597,4602) = 21155394

Properties of LCM 4597 and 4602

(i) The LCM of 4602 and 4597 is associative

LCM of 4597 and 4602 = LCM of 4602 and 4597

Related Least Common Multiples of 4597

Related Least Common Multiples of 4602

Frequently Asked Questions on LCM of 4597 and 4602

1. What is the LCM of 4597 and 4602?

Answer: LCM of 4597 and 4602 is 21155394.

2. What are the Factors of 4597?

Answer: Factors of 4597 are 1, 4597. There are 2 integers that are factors of 4597. The greatest factor of 4597 is 4597.

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 4597 and 4602?

Answer:

Least Common Multiple of 4597 and 4602 = 21155394

Step 1: Find the prime factorization of 4597

4597 = 4597

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 = 21155394 = 2 x 3 x 13 x 59 x 4597

Step 4: Therefore, the least common multiple of 4597 and 4602 is 21155394.