Least Common Multiple of 4633 and 4639

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 4639 the smallest integer that is 21492487 that is divisible by both numbers.

Least Common Multiple (LCM) of 4633 and 4639 is 21492487.

LCM(4633,4639) = 21492487

LCM of 4633 and 4639

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

LCM of:
and

Least Common Multiple of 4633 and 4639

LCM of 4633 and 4639 is 21492487

Least common multiple can be found by multiplying the highest exponent prime factors of 4633 and 4639. First we will calculate the prime factors of 4633 and 4639.

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 4639


4639 4639
1

Prime factors of 4639 are 4639. Prime factorization of 4639 in exponential form is:

4639 = 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 4633 and 4639.

LCM(4633,4639) = 411×1131×46391
LCM(4633,4639) = 21492487

Factors of 4633

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

1, 41, 113, 4633

Factors of 4639

List of positive integer factors of 4639 that divides 4639 without a remainder.

1, 4639

Least Common Multiple of 4633 and 4639 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 4639, than apply into the LCM equation.

GCF(4633,4639) = 1
LCM(4633,4639) = ( 4633 × 4639) / 1
LCM(4633,4639) = 21492487 / 1
LCM(4633,4639) = 21492487

Properties of LCM 4633 and 4639

(i) The LCM of 4639 and 4633 is associative

LCM of 4633 and 4639 = LCM of 4639 and 4633

Related Least Common Multiples of 4633

Related Least Common Multiples of 4639

Frequently Asked Questions on LCM of 4633 and 4639

1. What is the LCM of 4633 and 4639?

Answer: LCM of 4633 and 4639 is 21492487.

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 4639?

Answer: Factors of 4639 are 1, 4639. There are 2 integers that are factors of 4639. The greatest factor of 4639 is 4639.

4. How to Find the LCM of 4633 and 4639?

Answer:

Least Common Multiple of 4633 and 4639 = 21492487

Step 1: Find the prime factorization of 4633

4633 = 41 x 113

Step 2: Find the prime factorization of 4639

4639 = 4639

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

LCM = 21492487 = 41 x 113 x 4639

Step 4: Therefore, the least common multiple of 4633 and 4639 is 21492487.