Least Common Multiple of 4637 and 4644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4637 and 4644 the smallest integer that is 21534228 that is divisible by both numbers.

Least Common Multiple (LCM) of 4637 and 4644 is 21534228.

LCM(4637,4644) = 21534228

LCM of 4637 and 4644

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

LCM of:
and

Least Common Multiple of 4637 and 4644

LCM of 4637 and 4644 is 21534228

Least common multiple can be found by multiplying the highest exponent prime factors of 4637 and 4644. First we will calculate the prime factors of 4637 and 4644.

Prime Factorization of 4637


4637 4637
1

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

4637 = 46371

Prime Factorization of 4644


2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 4644 are 2, 3,43. Prime factorization of 4644 in exponential form is:

4644 = 22×33×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4637 and 4644.

LCM(4637,4644) = 22×33×431×46371
LCM(4637,4644) = 21534228

Factors of 4637

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

1, 4637

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644

Least Common Multiple of 4637 and 4644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4637 and 4644, than apply into the LCM equation.

GCF(4637,4644) = 1
LCM(4637,4644) = ( 4637 × 4644) / 1
LCM(4637,4644) = 21534228 / 1
LCM(4637,4644) = 21534228

Properties of LCM 4637 and 4644

(i) The LCM of 4644 and 4637 is associative

LCM of 4637 and 4644 = LCM of 4644 and 4637

Related Least Common Multiples of 4637

Related Least Common Multiples of 4644

Frequently Asked Questions on LCM of 4637 and 4644

1. What is the LCM of 4637 and 4644?

Answer: LCM of 4637 and 4644 is 21534228.

2. 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.

3. What are the Factors of 4644?

Answer: Factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644. There are 24 integers that are factors of 4644. The greatest factor of 4644 is 4644.

4. How to Find the LCM of 4637 and 4644?

Answer:

Least Common Multiple of 4637 and 4644 = 21534228

Step 1: Find the prime factorization of 4637

4637 = 4637

Step 2: Find the prime factorization of 4644

4644 = 2 x 2 x 3 x 3 x 3 x 43

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

LCM = 21534228 = 2 x 2 x 3 x 3 x 3 x 43 x 4637

Step 4: Therefore, the least common multiple of 4637 and 4644 is 21534228.