Least Common Multiple of 4658 and 4663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4658 and 4663 the smallest integer that is 21720254 that is divisible by both numbers.

Least Common Multiple (LCM) of 4658 and 4663 is 21720254.

LCM(4658,4663) = 21720254

LCM of 4658 and 4663

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

LCM of:
and

Least Common Multiple of 4658 and 4663

LCM of 4658 and 4663 is 21720254

Least common multiple can be found by multiplying the highest exponent prime factors of 4658 and 4663. First we will calculate the prime factors of 4658 and 4663.

Prime Factorization of 4658


2 4658
17 2329
137 137
1

Prime factors of 4658 are 2, 17,137. Prime factorization of 4658 in exponential form is:

4658 = 21×171×1371

Prime Factorization of 4663


4663 4663
1

Prime factors of 4663 are 4663. Prime factorization of 4663 in exponential form is:

4663 = 46631

Now multiplying the highest exponent prime factors to calculate the LCM of 4658 and 4663.

LCM(4658,4663) = 21×171×1371×46631
LCM(4658,4663) = 21720254

Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1, 2, 17, 34, 137, 274, 2329, 4658

Factors of 4663

List of positive integer factors of 4663 that divides 4663 without a remainder.

1, 4663

Least Common Multiple of 4658 and 4663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4658 and 4663, than apply into the LCM equation.

GCF(4658,4663) = 1
LCM(4658,4663) = ( 4658 × 4663) / 1
LCM(4658,4663) = 21720254 / 1
LCM(4658,4663) = 21720254

Properties of LCM 4658 and 4663

(i) The LCM of 4663 and 4658 is associative

LCM of 4658 and 4663 = LCM of 4663 and 4658

Related Least Common Multiples of 4658

Related Least Common Multiples of 4663

Frequently Asked Questions on LCM of 4658 and 4663

1. What is the LCM of 4658 and 4663?

Answer: LCM of 4658 and 4663 is 21720254.

2. What are the Factors of 4658?

Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.

3. What are the Factors of 4663?

Answer: Factors of 4663 are 1, 4663. There are 2 integers that are factors of 4663. The greatest factor of 4663 is 4663.

4. How to Find the LCM of 4658 and 4663?

Answer:

Least Common Multiple of 4658 and 4663 = 21720254

Step 1: Find the prime factorization of 4658

4658 = 2 x 17 x 137

Step 2: Find the prime factorization of 4663

4663 = 4663

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

LCM = 21720254 = 2 x 17 x 137 x 4663

Step 4: Therefore, the least common multiple of 4658 and 4663 is 21720254.