Least Common Multiple of 4638 and 4643

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 4643 the smallest integer that is 21534234 that is divisible by both numbers.

Least Common Multiple (LCM) of 4638 and 4643 is 21534234.

LCM(4638,4643) = 21534234

LCM of 4638 and 4643

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

LCM of:
and

Least Common Multiple of 4638 and 4643

LCM of 4638 and 4643 is 21534234

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4643. First we will calculate the prime factors of 4638 and 4643.

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 4643


4643 4643
1

Prime factors of 4643 are 4643. Prime factorization of 4643 in exponential form is:

4643 = 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4643.

LCM(4638,4643) = 21×31×7731×46431
LCM(4638,4643) = 21534234

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 4643

List of positive integer factors of 4643 that divides 4643 without a remainder.

1, 4643

Least Common Multiple of 4638 and 4643 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 4643, than apply into the LCM equation.

GCF(4638,4643) = 1
LCM(4638,4643) = ( 4638 × 4643) / 1
LCM(4638,4643) = 21534234 / 1
LCM(4638,4643) = 21534234

Properties of LCM 4638 and 4643

(i) The LCM of 4643 and 4638 is associative

LCM of 4638 and 4643 = LCM of 4643 and 4638

Related Least Common Multiples of 4638

Related Least Common Multiples of 4643

Frequently Asked Questions on LCM of 4638 and 4643

1. What is the LCM of 4638 and 4643?

Answer: LCM of 4638 and 4643 is 21534234.

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 4643?

Answer: Factors of 4643 are 1, 4643. There are 2 integers that are factors of 4643. The greatest factor of 4643 is 4643.

4. How to Find the LCM of 4638 and 4643?

Answer:

Least Common Multiple of 4638 and 4643 = 21534234

Step 1: Find the prime factorization of 4638

4638 = 2 x 3 x 773

Step 2: Find the prime factorization of 4643

4643 = 4643

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

LCM = 21534234 = 2 x 3 x 773 x 4643

Step 4: Therefore, the least common multiple of 4638 and 4643 is 21534234.