Least Common Multiple of 4638 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 4638 and 4644 the smallest integer that is 3589812 that is divisible by both numbers.

Least Common Multiple (LCM) of 4638 and 4644 is 3589812.

LCM(4638,4644) = 3589812

LCM of 4638 and 4644

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

LCM of:
and

Least Common Multiple of 4638 and 4644

LCM of 4638 and 4644 is 3589812

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4644. First we will calculate the prime factors of 4638 and 4644.

Prime Factorization of 4638


2 4638
3 2319
773 773
1

Prime factors of 4638 are 2, 3,773. Prime factorization of 4638 in exponential form is:

4638 = 21×31×7731

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 4638 and 4644.

LCM(4638,4644) = 22×33×431×7731
LCM(4638,4644) = 3589812

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1, 2, 3, 6, 773, 1546, 2319, 4638

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 4638 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 4638 and 4644, than apply into the LCM equation.

GCF(4638,4644) = 6
LCM(4638,4644) = ( 4638 × 4644) / 6
LCM(4638,4644) = 21538872 / 6
LCM(4638,4644) = 3589812

Properties of LCM 4638 and 4644

(i) The LCM of 4644 and 4638 is associative

LCM of 4638 and 4644 = LCM of 4644 and 4638

Related Least Common Multiples of 4638

Related Least Common Multiples of 4644

Frequently Asked Questions on LCM of 4638 and 4644

1. What is the LCM of 4638 and 4644?

Answer: LCM of 4638 and 4644 is 3589812.

2. What are the Factors of 4638?

Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.

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 4638 and 4644?

Answer:

Least Common Multiple of 4638 and 4644 = 3589812

Step 1: Find the prime factorization of 4638

4638 = 2 x 3 x 773

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 = 3589812 = 2 x 2 x 3 x 3 x 3 x 43 x 773

Step 4: Therefore, the least common multiple of 4638 and 4644 is 3589812.