Least Common Multiple of 4633 and 4638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4633 and 4638 the smallest integer that is 21487854 that is divisible by both numbers.

Least Common Multiple (LCM) of 4633 and 4638 is 21487854.

LCM(4633,4638) = 21487854

LCM of 4633 and 4638

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

LCM of:
and

Least Common Multiple of 4633 and 4638

LCM of 4633 and 4638 is 21487854

Least common multiple can be found by multiplying the highest exponent prime factors of 4633 and 4638. First we will calculate the prime factors of 4633 and 4638.

Prime Factorization of 4633


41 4633
113 113
1

Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:

4633 = 411×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4633 and 4638.

LCM(4633,4638) = 21×31×411×1131×7731
LCM(4633,4638) = 21487854

Factors of 4633

List of positive integer factors of 4633 that divides 4633 without a remainder.

1, 41, 113, 4633

Factors of 4638

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

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

Least Common Multiple of 4633 and 4638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4633 and 4638, than apply into the LCM equation.

GCF(4633,4638) = 1
LCM(4633,4638) = ( 4633 × 4638) / 1
LCM(4633,4638) = 21487854 / 1
LCM(4633,4638) = 21487854

Properties of LCM 4633 and 4638

(i) The LCM of 4638 and 4633 is associative

LCM of 4633 and 4638 = LCM of 4638 and 4633

Related Least Common Multiples of 4633

Related Least Common Multiples of 4638

Frequently Asked Questions on LCM of 4633 and 4638

1. What is the LCM of 4633 and 4638?

Answer: LCM of 4633 and 4638 is 21487854.

2. What are the Factors of 4633?

Answer: Factors of 4633 are 1, 41, 113, 4633. There are 4 integers that are factors of 4633. The greatest factor of 4633 is 4633.

3. 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.

4. How to Find the LCM of 4633 and 4638?

Answer:

Least Common Multiple of 4633 and 4638 = 21487854

Step 1: Find the prime factorization of 4633

4633 = 41 x 113

Step 2: Find the prime factorization of 4638

4638 = 2 x 3 x 773

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

LCM = 21487854 = 2 x 3 x 41 x 113 x 773

Step 4: Therefore, the least common multiple of 4633 and 4638 is 21487854.