Least Common Multiple of 4600 and 4608

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 4608 the smallest integer that is 2649600 that is divisible by both numbers.

Least Common Multiple (LCM) of 4600 and 4608 is 2649600.

LCM(4600,4608) = 2649600

LCM of 4600 and 4608

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

LCM of:
and

Least Common Multiple of 4600 and 4608

LCM of 4600 and 4608 is 2649600

Least common multiple can be found by multiplying the highest exponent prime factors of 4600 and 4608. First we will calculate the prime factors of 4600 and 4608.

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 4608


2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 4608 are 2,3. Prime factorization of 4608 in exponential form is:

4608 = 29×32

Now multiplying the highest exponent prime factors to calculate the LCM of 4600 and 4608.

LCM(4600,4608) = 29×32×52×231
LCM(4600,4608) = 2649600

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 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608

Least Common Multiple of 4600 and 4608 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 4608, than apply into the LCM equation.

GCF(4600,4608) = 8
LCM(4600,4608) = ( 4600 × 4608) / 8
LCM(4600,4608) = 21196800 / 8
LCM(4600,4608) = 2649600

Properties of LCM 4600 and 4608

(i) The LCM of 4608 and 4600 is associative

LCM of 4600 and 4608 = LCM of 4608 and 4600

Related Least Common Multiples of 4600

Related Least Common Multiples of 4608

Frequently Asked Questions on LCM of 4600 and 4608

1. What is the LCM of 4600 and 4608?

Answer: LCM of 4600 and 4608 is 2649600.

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 4608?

Answer: Factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608. There are 30 integers that are factors of 4608. The greatest factor of 4608 is 4608.

4. How to Find the LCM of 4600 and 4608?

Answer:

Least Common Multiple of 4600 and 4608 = 2649600

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 4608

4608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 2649600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 4600 and 4608 is 2649600.