Least Common Multiple of 4628 and 4634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4628 and 4634 the smallest integer that is 10723076 that is divisible by both numbers.

Least Common Multiple (LCM) of 4628 and 4634 is 10723076.

LCM(4628,4634) = 10723076

LCM of 4628 and 4634

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

LCM of:
and

Least Common Multiple of 4628 and 4634

LCM of 4628 and 4634 is 10723076

Least common multiple can be found by multiplying the highest exponent prime factors of 4628 and 4634. First we will calculate the prime factors of 4628 and 4634.

Prime Factorization of 4628


2 4628
2 2314
13 1157
89 89
1

Prime factors of 4628 are 2, 13,89. Prime factorization of 4628 in exponential form is:

4628 = 22×131×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4628 and 4634.

LCM(4628,4634) = 22×71×131×891×3311
LCM(4628,4634) = 10723076

Factors of 4628

List of positive integer factors of 4628 that divides 4628 without a remainder.

1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628

Factors of 4634

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

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

Least Common Multiple of 4628 and 4634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4628 and 4634, than apply into the LCM equation.

GCF(4628,4634) = 2
LCM(4628,4634) = ( 4628 × 4634) / 2
LCM(4628,4634) = 21446152 / 2
LCM(4628,4634) = 10723076

Properties of LCM 4628 and 4634

(i) The LCM of 4634 and 4628 is associative

LCM of 4628 and 4634 = LCM of 4634 and 4628

Related Least Common Multiples of 4628

Related Least Common Multiples of 4634

Frequently Asked Questions on LCM of 4628 and 4634

1. What is the LCM of 4628 and 4634?

Answer: LCM of 4628 and 4634 is 10723076.

2. What are the Factors of 4628?

Answer: Factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628. There are 12 integers that are factors of 4628. The greatest factor of 4628 is 4628.

3. 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.

4. How to Find the LCM of 4628 and 4634?

Answer:

Least Common Multiple of 4628 and 4634 = 10723076

Step 1: Find the prime factorization of 4628

4628 = 2 x 2 x 13 x 89

Step 2: Find the prime factorization of 4634

4634 = 2 x 7 x 331

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

LCM = 10723076 = 2 x 2 x 7 x 13 x 89 x 331

Step 4: Therefore, the least common multiple of 4628 and 4634 is 10723076.