Least Common Multiple of 4610 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 4610 and 4615 the smallest integer that is 4255030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4610 and 4615 is 4255030.

LCM(4610,4615) = 4255030

LCM of 4610 and 4615

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

LCM of:
and

Least Common Multiple of 4610 and 4615

LCM of 4610 and 4615 is 4255030

Least common multiple can be found by multiplying the highest exponent prime factors of 4610 and 4615. First we will calculate the prime factors of 4610 and 4615.

Prime Factorization of 4610


2 4610
5 2305
461 461
1

Prime factors of 4610 are 2, 5,461. Prime factorization of 4610 in exponential form is:

4610 = 21×51×4611

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 4610 and 4615.

LCM(4610,4615) = 21×51×131×711×4611
LCM(4610,4615) = 4255030

Factors of 4610

List of positive integer factors of 4610 that divides 4610 without a remainder.

1, 2, 5, 10, 461, 922, 2305, 4610

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 4610 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 4610 and 4615, than apply into the LCM equation.

GCF(4610,4615) = 5
LCM(4610,4615) = ( 4610 × 4615) / 5
LCM(4610,4615) = 21275150 / 5
LCM(4610,4615) = 4255030

Properties of LCM 4610 and 4615

(i) The LCM of 4615 and 4610 is associative

LCM of 4610 and 4615 = LCM of 4615 and 4610

Related Least Common Multiples of 4610

Related Least Common Multiples of 4615

Frequently Asked Questions on LCM of 4610 and 4615

1. What is the LCM of 4610 and 4615?

Answer: LCM of 4610 and 4615 is 4255030.

2. What are the Factors of 4610?

Answer: Factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610. There are 8 integers that are factors of 4610. The greatest factor of 4610 is 4610.

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 4610 and 4615?

Answer:

Least Common Multiple of 4610 and 4615 = 4255030

Step 1: Find the prime factorization of 4610

4610 = 2 x 5 x 461

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 = 4255030 = 2 x 5 x 13 x 71 x 461

Step 4: Therefore, the least common multiple of 4610 and 4615 is 4255030.