Least Common Multiple of 4604 and 4610

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 4610 the smallest integer that is 10612220 that is divisible by both numbers.

Least Common Multiple (LCM) of 4604 and 4610 is 10612220.

LCM(4604,4610) = 10612220

LCM of 4604 and 4610

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

LCM of:
and

Least Common Multiple of 4604 and 4610

LCM of 4604 and 4610 is 10612220

Least common multiple can be found by multiplying the highest exponent prime factors of 4604 and 4610. First we will calculate the prime factors of 4604 and 4610.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 4604 and 4610.

LCM(4604,4610) = 22×51×4611×11511
LCM(4604,4610) = 10612220

Factors of 4604

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

1, 2, 4, 1151, 2302, 4604

Factors of 4610

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

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

Least Common Multiple of 4604 and 4610 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 4610, than apply into the LCM equation.

GCF(4604,4610) = 2
LCM(4604,4610) = ( 4604 × 4610) / 2
LCM(4604,4610) = 21224440 / 2
LCM(4604,4610) = 10612220

Properties of LCM 4604 and 4610

(i) The LCM of 4610 and 4604 is associative

LCM of 4604 and 4610 = LCM of 4610 and 4604

Related Least Common Multiples of 4604

Related Least Common Multiples of 4610

Frequently Asked Questions on LCM of 4604 and 4610

1. What is the LCM of 4604 and 4610?

Answer: LCM of 4604 and 4610 is 10612220.

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 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.

4. How to Find the LCM of 4604 and 4610?

Answer:

Least Common Multiple of 4604 and 4610 = 10612220

Step 1: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

Step 2: Find the prime factorization of 4610

4610 = 2 x 5 x 461

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

LCM = 10612220 = 2 x 2 x 5 x 461 x 1151

Step 4: Therefore, the least common multiple of 4604 and 4610 is 10612220.