Least Common Multiple of 4650 and 4658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4650 and 4658 the smallest integer that is 10829850 that is divisible by both numbers.

Least Common Multiple (LCM) of 4650 and 4658 is 10829850.

LCM(4650,4658) = 10829850

LCM of 4650 and 4658

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

LCM of:
and

Least Common Multiple of 4650 and 4658

LCM of 4650 and 4658 is 10829850

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4658. First we will calculate the prime factors of 4650 and 4658.

Prime Factorization of 4650


2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 4650 are 2, 3, 5,31. Prime factorization of 4650 in exponential form is:

4650 = 21×31×52×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4650 and 4658.

LCM(4650,4658) = 21×31×52×171×311×1371
LCM(4650,4658) = 10829850

Factors of 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650

Factors of 4658

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

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

Least Common Multiple of 4650 and 4658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4650 and 4658, than apply into the LCM equation.

GCF(4650,4658) = 2
LCM(4650,4658) = ( 4650 × 4658) / 2
LCM(4650,4658) = 21659700 / 2
LCM(4650,4658) = 10829850

Properties of LCM 4650 and 4658

(i) The LCM of 4658 and 4650 is associative

LCM of 4650 and 4658 = LCM of 4658 and 4650

Related Least Common Multiples of 4650

Related Least Common Multiples of 4658

Frequently Asked Questions on LCM of 4650 and 4658

1. What is the LCM of 4650 and 4658?

Answer: LCM of 4650 and 4658 is 10829850.

2. What are the Factors of 4650?

Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.

3. 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.

4. How to Find the LCM of 4650 and 4658?

Answer:

Least Common Multiple of 4650 and 4658 = 10829850

Step 1: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 4658

4658 = 2 x 17 x 137

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

LCM = 10829850 = 2 x 3 x 5 x 5 x 17 x 31 x 137

Step 4: Therefore, the least common multiple of 4650 and 4658 is 10829850.