Least Common Multiple of 4608 and 4615

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 4615 the smallest integer that is 21265920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4608 and 4615 is 21265920.

LCM(4608,4615) = 21265920

LCM of 4608 and 4615

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

LCM of:
and

Least Common Multiple of 4608 and 4615

LCM of 4608 and 4615 is 21265920

Least common multiple can be found by multiplying the highest exponent prime factors of 4608 and 4615. First we will calculate the prime factors of 4608 and 4615.

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 4615


5 4615
13 923
71 71
1

Prime factors of 4615 are 5, 13,71. Prime factorization of 4615 in exponential form is:

4615 = 51×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4608 and 4615.

LCM(4608,4615) = 29×32×51×131×711
LCM(4608,4615) = 21265920

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 4615

List of positive integer factors of 4615 that divides 4615 without a remainder.

1, 5, 13, 65, 71, 355, 923, 4615

Least Common Multiple of 4608 and 4615 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 4615, than apply into the LCM equation.

GCF(4608,4615) = 1
LCM(4608,4615) = ( 4608 × 4615) / 1
LCM(4608,4615) = 21265920 / 1
LCM(4608,4615) = 21265920

Properties of LCM 4608 and 4615

(i) The LCM of 4615 and 4608 is associative

LCM of 4608 and 4615 = LCM of 4615 and 4608

Related Least Common Multiples of 4608

Related Least Common Multiples of 4615

Frequently Asked Questions on LCM of 4608 and 4615

1. What is the LCM of 4608 and 4615?

Answer: LCM of 4608 and 4615 is 21265920.

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 4615?

Answer: Factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615. There are 8 integers that are factors of 4615. The greatest factor of 4615 is 4615.

4. How to Find the LCM of 4608 and 4615?

Answer:

Least Common Multiple of 4608 and 4615 = 21265920

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 4615

4615 = 5 x 13 x 71

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

LCM = 21265920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 71

Step 4: Therefore, the least common multiple of 4608 and 4615 is 21265920.