Least Common Multiple of 4596 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 4596 and 4601 the smallest integer that is 21146196 that is divisible by both numbers.

Least Common Multiple (LCM) of 4596 and 4601 is 21146196.

LCM(4596,4601) = 21146196

LCM of 4596 and 4601

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

LCM of:
and

Least Common Multiple of 4596 and 4601

LCM of 4596 and 4601 is 21146196

Least common multiple can be found by multiplying the highest exponent prime factors of 4596 and 4601. First we will calculate the prime factors of 4596 and 4601.

Prime Factorization of 4596


2 4596
2 2298
3 1149
383 383
1

Prime factors of 4596 are 2, 3,383. Prime factorization of 4596 in exponential form is:

4596 = 22×31×3831

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 4596 and 4601.

LCM(4596,4601) = 22×31×431×1071×3831
LCM(4596,4601) = 21146196

Factors of 4596

List of positive integer factors of 4596 that divides 4596 without a remainder.

1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596

Factors of 4601

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

1, 43, 107, 4601

Least Common Multiple of 4596 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 4596 and 4601, than apply into the LCM equation.

GCF(4596,4601) = 1
LCM(4596,4601) = ( 4596 × 4601) / 1
LCM(4596,4601) = 21146196 / 1
LCM(4596,4601) = 21146196

Properties of LCM 4596 and 4601

(i) The LCM of 4601 and 4596 is associative

LCM of 4596 and 4601 = LCM of 4601 and 4596

Related Least Common Multiples of 4596

Related Least Common Multiples of 4601

Frequently Asked Questions on LCM of 4596 and 4601

1. What is the LCM of 4596 and 4601?

Answer: LCM of 4596 and 4601 is 21146196.

2. What are the Factors of 4596?

Answer: Factors of 4596 are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596. There are 12 integers that are factors of 4596. The greatest factor of 4596 is 4596.

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 4596 and 4601?

Answer:

Least Common Multiple of 4596 and 4601 = 21146196

Step 1: Find the prime factorization of 4596

4596 = 2 x 2 x 3 x 383

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 = 21146196 = 2 x 2 x 3 x 43 x 107 x 383

Step 4: Therefore, the least common multiple of 4596 and 4601 is 21146196.