Least Common Multiple of 4610 and 4614

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 4614 the smallest integer that is 10635270 that is divisible by both numbers.

Least Common Multiple (LCM) of 4610 and 4614 is 10635270.

LCM(4610,4614) = 10635270

LCM of 4610 and 4614

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

LCM of:
and

Least Common Multiple of 4610 and 4614

LCM of 4610 and 4614 is 10635270

Least common multiple can be found by multiplying the highest exponent prime factors of 4610 and 4614. First we will calculate the prime factors of 4610 and 4614.

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 4614


2 4614
3 2307
769 769
1

Prime factors of 4614 are 2, 3,769. Prime factorization of 4614 in exponential form is:

4614 = 21×31×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 4610 and 4614.

LCM(4610,4614) = 21×31×51×4611×7691
LCM(4610,4614) = 10635270

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 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1, 2, 3, 6, 769, 1538, 2307, 4614

Least Common Multiple of 4610 and 4614 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 4614, than apply into the LCM equation.

GCF(4610,4614) = 2
LCM(4610,4614) = ( 4610 × 4614) / 2
LCM(4610,4614) = 21270540 / 2
LCM(4610,4614) = 10635270

Properties of LCM 4610 and 4614

(i) The LCM of 4614 and 4610 is associative

LCM of 4610 and 4614 = LCM of 4614 and 4610

Related Least Common Multiples of 4610

Related Least Common Multiples of 4614

Frequently Asked Questions on LCM of 4610 and 4614

1. What is the LCM of 4610 and 4614?

Answer: LCM of 4610 and 4614 is 10635270.

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 4614?

Answer: Factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614. There are 8 integers that are factors of 4614. The greatest factor of 4614 is 4614.

4. How to Find the LCM of 4610 and 4614?

Answer:

Least Common Multiple of 4610 and 4614 = 10635270

Step 1: Find the prime factorization of 4610

4610 = 2 x 5 x 461

Step 2: Find the prime factorization of 4614

4614 = 2 x 3 x 769

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

LCM = 10635270 = 2 x 3 x 5 x 461 x 769

Step 4: Therefore, the least common multiple of 4610 and 4614 is 10635270.