Least Common Multiple of 4600 and 4606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4600 and 4606 the smallest integer that is 10593800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4600 and 4606 is 10593800.

LCM(4600,4606) = 10593800

LCM of 4600 and 4606

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

LCM of:
and

Least Common Multiple of 4600 and 4606

LCM of 4600 and 4606 is 10593800

Least common multiple can be found by multiplying the highest exponent prime factors of 4600 and 4606. First we will calculate the prime factors of 4600 and 4606.

Prime Factorization of 4600


2 4600
2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 4600 are 2, 5,23. Prime factorization of 4600 in exponential form is:

4600 = 23×52×231

Prime Factorization of 4606


2 4606
7 2303
7 329
47 47
1

Prime factors of 4606 are 2, 7,47. Prime factorization of 4606 in exponential form is:

4606 = 21×72×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4600 and 4606.

LCM(4600,4606) = 23×52×72×231×471
LCM(4600,4606) = 10593800

Factors of 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600

Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606

Least Common Multiple of 4600 and 4606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4600 and 4606, than apply into the LCM equation.

GCF(4600,4606) = 2
LCM(4600,4606) = ( 4600 × 4606) / 2
LCM(4600,4606) = 21187600 / 2
LCM(4600,4606) = 10593800

Properties of LCM 4600 and 4606

(i) The LCM of 4606 and 4600 is associative

LCM of 4600 and 4606 = LCM of 4606 and 4600

Related Least Common Multiples of 4600

Related Least Common Multiples of 4606

Frequently Asked Questions on LCM of 4600 and 4606

1. What is the LCM of 4600 and 4606?

Answer: LCM of 4600 and 4606 is 10593800.

2. What are the Factors of 4600?

Answer: Factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600. There are 24 integers that are factors of 4600. The greatest factor of 4600 is 4600.

3. What are the Factors of 4606?

Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.

4. How to Find the LCM of 4600 and 4606?

Answer:

Least Common Multiple of 4600 and 4606 = 10593800

Step 1: Find the prime factorization of 4600

4600 = 2 x 2 x 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

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

LCM = 10593800 = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 23 x 47

Step 4: Therefore, the least common multiple of 4600 and 4606 is 10593800.