Least Common Multiple of 4636 and 4637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4636 and 4637 the smallest integer that is 21497132 that is divisible by both numbers.

Least Common Multiple (LCM) of 4636 and 4637 is 21497132.

LCM(4636,4637) = 21497132

LCM of 4636 and 4637

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

LCM of:
and

Least Common Multiple of 4636 and 4637

LCM of 4636 and 4637 is 21497132

Least common multiple can be found by multiplying the highest exponent prime factors of 4636 and 4637. First we will calculate the prime factors of 4636 and 4637.

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

Prime Factorization of 4637


4637 4637
1

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 4636 and 4637.

LCM(4636,4637) = 22×191×611×46371
LCM(4636,4637) = 21497132

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

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1, 4637

Least Common Multiple of 4636 and 4637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4636 and 4637, than apply into the LCM equation.

GCF(4636,4637) = 1
LCM(4636,4637) = ( 4636 × 4637) / 1
LCM(4636,4637) = 21497132 / 1
LCM(4636,4637) = 21497132

Properties of LCM 4636 and 4637

(i) The LCM of 4637 and 4636 is associative

LCM of 4636 and 4637 = LCM of 4637 and 4636

Related Least Common Multiples of 4636

Related Least Common Multiples of 4637

Frequently Asked Questions on LCM of 4636 and 4637

1. What is the LCM of 4636 and 4637?

Answer: LCM of 4636 and 4637 is 21497132.

2. 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.

3. What are the Factors of 4637?

Answer: Factors of 4637 are 1, 4637. There are 2 integers that are factors of 4637. The greatest factor of 4637 is 4637.

4. How to Find the LCM of 4636 and 4637?

Answer:

Least Common Multiple of 4636 and 4637 = 21497132

Step 1: Find the prime factorization of 4636

4636 = 2 x 2 x 19 x 61

Step 2: Find the prime factorization of 4637

4637 = 4637

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

LCM = 21497132 = 2 x 2 x 19 x 61 x 4637

Step 4: Therefore, the least common multiple of 4636 and 4637 is 21497132.