Least Common Multiple of 4634 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 4634 and 4638 the smallest integer that is 10746246 that is divisible by both numbers.

Least Common Multiple (LCM) of 4634 and 4638 is 10746246.

LCM(4634,4638) = 10746246

LCM of 4634 and 4638

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

LCM of:
and

Least Common Multiple of 4634 and 4638

LCM of 4634 and 4638 is 10746246

Least common multiple can be found by multiplying the highest exponent prime factors of 4634 and 4638. First we will calculate the prime factors of 4634 and 4638.

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 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 4634 and 4638.

LCM(4634,4638) = 21×31×71×3311×7731
LCM(4634,4638) = 10746246

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 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 4634 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 4634 and 4638, than apply into the LCM equation.

GCF(4634,4638) = 2
LCM(4634,4638) = ( 4634 × 4638) / 2
LCM(4634,4638) = 21492492 / 2
LCM(4634,4638) = 10746246

Properties of LCM 4634 and 4638

(i) The LCM of 4638 and 4634 is associative

LCM of 4634 and 4638 = LCM of 4638 and 4634

Related Least Common Multiples of 4634

Related Least Common Multiples of 4638

Frequently Asked Questions on LCM of 4634 and 4638

1. What is the LCM of 4634 and 4638?

Answer: LCM of 4634 and 4638 is 10746246.

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 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 4634 and 4638?

Answer:

Least Common Multiple of 4634 and 4638 = 10746246

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

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 = 10746246 = 2 x 3 x 7 x 331 x 773

Step 4: Therefore, the least common multiple of 4634 and 4638 is 10746246.