Least Common Multiple of 4610 and 4616

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 4616 the smallest integer that is 10639880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4610 and 4616 is 10639880.

LCM(4610,4616) = 10639880

LCM of 4610 and 4616

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

LCM of:
and

Least Common Multiple of 4610 and 4616

LCM of 4610 and 4616 is 10639880

Least common multiple can be found by multiplying the highest exponent prime factors of 4610 and 4616. First we will calculate the prime factors of 4610 and 4616.

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 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 4610 and 4616.

LCM(4610,4616) = 23×51×4611×5771
LCM(4610,4616) = 10639880

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 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1, 2, 4, 8, 577, 1154, 2308, 4616

Least Common Multiple of 4610 and 4616 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 4616, than apply into the LCM equation.

GCF(4610,4616) = 2
LCM(4610,4616) = ( 4610 × 4616) / 2
LCM(4610,4616) = 21279760 / 2
LCM(4610,4616) = 10639880

Properties of LCM 4610 and 4616

(i) The LCM of 4616 and 4610 is associative

LCM of 4610 and 4616 = LCM of 4616 and 4610

Related Least Common Multiples of 4610

Related Least Common Multiples of 4616

Frequently Asked Questions on LCM of 4610 and 4616

1. What is the LCM of 4610 and 4616?

Answer: LCM of 4610 and 4616 is 10639880.

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 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

4. How to Find the LCM of 4610 and 4616?

Answer:

Least Common Multiple of 4610 and 4616 = 10639880

Step 1: Find the prime factorization of 4610

4610 = 2 x 5 x 461

Step 2: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

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

LCM = 10639880 = 2 x 2 x 2 x 5 x 461 x 577

Step 4: Therefore, the least common multiple of 4610 and 4616 is 10639880.