Least Common Multiple of 4604 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 4604 and 4608 the smallest integer that is 5303808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4604 and 4608 is 5303808.

LCM(4604,4608) = 5303808

LCM of 4604 and 4608

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

LCM of:
and

Least Common Multiple of 4604 and 4608

LCM of 4604 and 4608 is 5303808

Least common multiple can be found by multiplying the highest exponent prime factors of 4604 and 4608. First we will calculate the prime factors of 4604 and 4608.

Prime Factorization of 4604


2 4604
2 2302
1151 1151
1

Prime factors of 4604 are 2,1151. Prime factorization of 4604 in exponential form is:

4604 = 22×11511

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 4604 and 4608.

LCM(4604,4608) = 29×32×11511
LCM(4604,4608) = 5303808

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1, 2, 4, 1151, 2302, 4604

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 4604 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 4604 and 4608, than apply into the LCM equation.

GCF(4604,4608) = 4
LCM(4604,4608) = ( 4604 × 4608) / 4
LCM(4604,4608) = 21215232 / 4
LCM(4604,4608) = 5303808

Properties of LCM 4604 and 4608

(i) The LCM of 4608 and 4604 is associative

LCM of 4604 and 4608 = LCM of 4608 and 4604

Related Least Common Multiples of 4604

Related Least Common Multiples of 4608

Frequently Asked Questions on LCM of 4604 and 4608

1. What is the LCM of 4604 and 4608?

Answer: LCM of 4604 and 4608 is 5303808.

2. What are the Factors of 4604?

Answer: Factors of 4604 are 1, 2, 4, 1151, 2302, 4604. There are 6 integers that are factors of 4604. The greatest factor of 4604 is 4604.

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 4604 and 4608?

Answer:

Least Common Multiple of 4604 and 4608 = 5303808

Step 1: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

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 = 5303808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1151

Step 4: Therefore, the least common multiple of 4604 and 4608 is 5303808.