Least Common Multiple of 4634 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 4634 and 4639 the smallest integer that is 21497126 that is divisible by both numbers.

Least Common Multiple (LCM) of 4634 and 4639 is 21497126.

LCM(4634,4639) = 21497126

LCM of 4634 and 4639

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

LCM of:
and

Least Common Multiple of 4634 and 4639

LCM of 4634 and 4639 is 21497126

Least common multiple can be found by multiplying the highest exponent prime factors of 4634 and 4639. First we will calculate the prime factors of 4634 and 4639.

Prime Factorization of 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2, 7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

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 4634 and 4639.

LCM(4634,4639) = 21×71×3311×46391
LCM(4634,4639) = 21497126

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1, 2, 7, 14, 331, 662, 2317, 4634

Factors of 4639

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

1, 4639

Least Common Multiple of 4634 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 4634 and 4639, than apply into the LCM equation.

GCF(4634,4639) = 1
LCM(4634,4639) = ( 4634 × 4639) / 1
LCM(4634,4639) = 21497126 / 1
LCM(4634,4639) = 21497126

Properties of LCM 4634 and 4639

(i) The LCM of 4639 and 4634 is associative

LCM of 4634 and 4639 = LCM of 4639 and 4634

Related Least Common Multiples of 4634

Related Least Common Multiples of 4639

Frequently Asked Questions on LCM of 4634 and 4639

1. What is the LCM of 4634 and 4639?

Answer: LCM of 4634 and 4639 is 21497126.

2. What are the Factors of 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

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 4634 and 4639?

Answer:

Least Common Multiple of 4634 and 4639 = 21497126

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

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 = 21497126 = 2 x 7 x 331 x 4639

Step 4: Therefore, the least common multiple of 4634 and 4639 is 21497126.