Least Common Multiple of 4601 and 4605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4601 and 4605 the smallest integer that is 21187605 that is divisible by both numbers.

Least Common Multiple (LCM) of 4601 and 4605 is 21187605.

LCM(4601,4605) = 21187605

LCM of 4601 and 4605

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

LCM of:
and

Least Common Multiple of 4601 and 4605

LCM of 4601 and 4605 is 21187605

Least common multiple can be found by multiplying the highest exponent prime factors of 4601 and 4605. First we will calculate the prime factors of 4601 and 4605.

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

Prime Factorization of 4605


3 4605
5 1535
307 307
1

Prime factors of 4605 are 3, 5,307. Prime factorization of 4605 in exponential form is:

4605 = 31×51×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 4601 and 4605.

LCM(4601,4605) = 31×51×431×1071×3071
LCM(4601,4605) = 21187605

Factors of 4601

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

1, 43, 107, 4601

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1, 3, 5, 15, 307, 921, 1535, 4605

Least Common Multiple of 4601 and 4605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4601 and 4605, than apply into the LCM equation.

GCF(4601,4605) = 1
LCM(4601,4605) = ( 4601 × 4605) / 1
LCM(4601,4605) = 21187605 / 1
LCM(4601,4605) = 21187605

Properties of LCM 4601 and 4605

(i) The LCM of 4605 and 4601 is associative

LCM of 4601 and 4605 = LCM of 4605 and 4601

Related Least Common Multiples of 4601

Related Least Common Multiples of 4605

Frequently Asked Questions on LCM of 4601 and 4605

1. What is the LCM of 4601 and 4605?

Answer: LCM of 4601 and 4605 is 21187605.

2. 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.

3. What are the Factors of 4605?

Answer: Factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605. There are 8 integers that are factors of 4605. The greatest factor of 4605 is 4605.

4. How to Find the LCM of 4601 and 4605?

Answer:

Least Common Multiple of 4601 and 4605 = 21187605

Step 1: Find the prime factorization of 4601

4601 = 43 x 107

Step 2: Find the prime factorization of 4605

4605 = 3 x 5 x 307

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

LCM = 21187605 = 3 x 5 x 43 x 107 x 307

Step 4: Therefore, the least common multiple of 4601 and 4605 is 21187605.