Least Common Multiple of 4630 and 4636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4630 and 4636 the smallest integer that is 10732340 that is divisible by both numbers.

Least Common Multiple (LCM) of 4630 and 4636 is 10732340.

LCM(4630,4636) = 10732340

LCM of 4630 and 4636

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

LCM of:
and

Least Common Multiple of 4630 and 4636

LCM of 4630 and 4636 is 10732340

Least common multiple can be found by multiplying the highest exponent prime factors of 4630 and 4636. First we will calculate the prime factors of 4630 and 4636.

Prime Factorization of 4630


2 4630
5 2315
463 463
1

Prime factors of 4630 are 2, 5,463. Prime factorization of 4630 in exponential form is:

4630 = 21×51×4631

Prime Factorization of 4636


2 4636
2 2318
19 1159
61 61
1

Prime factors of 4636 are 2, 19,61. Prime factorization of 4636 in exponential form is:

4636 = 22×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4630 and 4636.

LCM(4630,4636) = 22×51×191×611×4631
LCM(4630,4636) = 10732340

Factors of 4630

List of positive integer factors of 4630 that divides 4630 without a remainder.

1, 2, 5, 10, 463, 926, 2315, 4630

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636

Least Common Multiple of 4630 and 4636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4630 and 4636, than apply into the LCM equation.

GCF(4630,4636) = 2
LCM(4630,4636) = ( 4630 × 4636) / 2
LCM(4630,4636) = 21464680 / 2
LCM(4630,4636) = 10732340

Properties of LCM 4630 and 4636

(i) The LCM of 4636 and 4630 is associative

LCM of 4630 and 4636 = LCM of 4636 and 4630

Related Least Common Multiples of 4630

Related Least Common Multiples of 4636

Frequently Asked Questions on LCM of 4630 and 4636

1. What is the LCM of 4630 and 4636?

Answer: LCM of 4630 and 4636 is 10732340.

2. What are the Factors of 4630?

Answer: Factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630. There are 8 integers that are factors of 4630. The greatest factor of 4630 is 4630.

3. What are the Factors of 4636?

Answer: Factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636. There are 12 integers that are factors of 4636. The greatest factor of 4636 is 4636.

4. How to Find the LCM of 4630 and 4636?

Answer:

Least Common Multiple of 4630 and 4636 = 10732340

Step 1: Find the prime factorization of 4630

4630 = 2 x 5 x 463

Step 2: Find the prime factorization of 4636

4636 = 2 x 2 x 19 x 61

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

LCM = 10732340 = 2 x 2 x 5 x 19 x 61 x 463

Step 4: Therefore, the least common multiple of 4630 and 4636 is 10732340.