Least Common Multiple of 4608 and 4613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4608 and 4613 the smallest integer that is 21256704 that is divisible by both numbers.

Least Common Multiple (LCM) of 4608 and 4613 is 21256704.

LCM(4608,4613) = 21256704

LCM of 4608 and 4613

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

LCM of:
and

Least Common Multiple of 4608 and 4613

LCM of 4608 and 4613 is 21256704

Least common multiple can be found by multiplying the highest exponent prime factors of 4608 and 4613. First we will calculate the prime factors of 4608 and 4613.

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

Prime Factorization of 4613


7 4613
659 659
1

Prime factors of 4613 are 7,659. Prime factorization of 4613 in exponential form is:

4613 = 71×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 4608 and 4613.

LCM(4608,4613) = 29×32×71×6591
LCM(4608,4613) = 21256704

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

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1, 7, 659, 4613

Least Common Multiple of 4608 and 4613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4608 and 4613, than apply into the LCM equation.

GCF(4608,4613) = 1
LCM(4608,4613) = ( 4608 × 4613) / 1
LCM(4608,4613) = 21256704 / 1
LCM(4608,4613) = 21256704

Properties of LCM 4608 and 4613

(i) The LCM of 4613 and 4608 is associative

LCM of 4608 and 4613 = LCM of 4613 and 4608

Related Least Common Multiples of 4608

Related Least Common Multiples of 4613

Frequently Asked Questions on LCM of 4608 and 4613

1. What is the LCM of 4608 and 4613?

Answer: LCM of 4608 and 4613 is 21256704.

2. 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.

3. What are the Factors of 4613?

Answer: Factors of 4613 are 1, 7, 659, 4613. There are 4 integers that are factors of 4613. The greatest factor of 4613 is 4613.

4. How to Find the LCM of 4608 and 4613?

Answer:

Least Common Multiple of 4608 and 4613 = 21256704

Step 1: 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 2: Find the prime factorization of 4613

4613 = 7 x 659

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

LCM = 21256704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 659

Step 4: Therefore, the least common multiple of 4608 and 4613 is 21256704.