Least Common Multiple of 4606 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 4606 and 4610 the smallest integer that is 10616830 that is divisible by both numbers.

Least Common Multiple (LCM) of 4606 and 4610 is 10616830.

LCM(4606,4610) = 10616830

LCM of 4606 and 4610

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

LCM of:
and

Least Common Multiple of 4606 and 4610

LCM of 4606 and 4610 is 10616830

Least common multiple can be found by multiplying the highest exponent prime factors of 4606 and 4610. First we will calculate the prime factors of 4606 and 4610.

Prime Factorization of 4606


2 4606
7 2303
7 329
47 47
1

Prime factors of 4606 are 2, 7,47. Prime factorization of 4606 in exponential form is:

4606 = 21×72×471

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 4606 and 4610.

LCM(4606,4610) = 21×51×72×471×4611
LCM(4606,4610) = 10616830

Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606

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 4606 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 4606 and 4610, than apply into the LCM equation.

GCF(4606,4610) = 2
LCM(4606,4610) = ( 4606 × 4610) / 2
LCM(4606,4610) = 21233660 / 2
LCM(4606,4610) = 10616830

Properties of LCM 4606 and 4610

(i) The LCM of 4610 and 4606 is associative

LCM of 4606 and 4610 = LCM of 4610 and 4606

Related Least Common Multiples of 4606

Related Least Common Multiples of 4610

Frequently Asked Questions on LCM of 4606 and 4610

1. What is the LCM of 4606 and 4610?

Answer: LCM of 4606 and 4610 is 10616830.

2. What are the Factors of 4606?

Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.

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 4606 and 4610?

Answer:

Least Common Multiple of 4606 and 4610 = 10616830

Step 1: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

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 = 10616830 = 2 x 5 x 7 x 7 x 47 x 461

Step 4: Therefore, the least common multiple of 4606 and 4610 is 10616830.