Least Common Multiple of 4594 and 4601

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 4601 the smallest integer that is 21136994 that is divisible by both numbers.

Least Common Multiple (LCM) of 4594 and 4601 is 21136994.

LCM(4594,4601) = 21136994

LCM of 4594 and 4601

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

LCM of:
and

Least Common Multiple of 4594 and 4601

LCM of 4594 and 4601 is 21136994

Least common multiple can be found by multiplying the highest exponent prime factors of 4594 and 4601. First we will calculate the prime factors of 4594 and 4601.

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 4601


43 4601
107 107
1

Prime factors of 4601 are 43,107. Prime factorization of 4601 in exponential form is:

4601 = 431×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4594 and 4601.

LCM(4594,4601) = 21×431×1071×22971
LCM(4594,4601) = 21136994

Factors of 4594

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

1, 2, 2297, 4594

Factors of 4601

List of positive integer factors of 4601 that divides 4601 without a remainder.

1, 43, 107, 4601

Least Common Multiple of 4594 and 4601 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 4601, than apply into the LCM equation.

GCF(4594,4601) = 1
LCM(4594,4601) = ( 4594 × 4601) / 1
LCM(4594,4601) = 21136994 / 1
LCM(4594,4601) = 21136994

Properties of LCM 4594 and 4601

(i) The LCM of 4601 and 4594 is associative

LCM of 4594 and 4601 = LCM of 4601 and 4594

Related Least Common Multiples of 4594

Related Least Common Multiples of 4601

Frequently Asked Questions on LCM of 4594 and 4601

1. What is the LCM of 4594 and 4601?

Answer: LCM of 4594 and 4601 is 21136994.

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 4601?

Answer: Factors of 4601 are 1, 43, 107, 4601. There are 4 integers that are factors of 4601. The greatest factor of 4601 is 4601.

4. How to Find the LCM of 4594 and 4601?

Answer:

Least Common Multiple of 4594 and 4601 = 21136994

Step 1: Find the prime factorization of 4594

4594 = 2 x 2297

Step 2: Find the prime factorization of 4601

4601 = 43 x 107

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

LCM = 21136994 = 2 x 43 x 107 x 2297

Step 4: Therefore, the least common multiple of 4594 and 4601 is 21136994.