Least Common Multiple of 4627 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 4627 and 4634 the smallest integer that is 3063074 that is divisible by both numbers.

Least Common Multiple (LCM) of 4627 and 4634 is 3063074.

LCM(4627,4634) = 3063074

LCM of 4627 and 4634

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

LCM of:
and

Least Common Multiple of 4627 and 4634

LCM of 4627 and 4634 is 3063074

Least common multiple can be found by multiplying the highest exponent prime factors of 4627 and 4634. First we will calculate the prime factors of 4627 and 4634.

Prime Factorization of 4627


7 4627
661 661
1

Prime factors of 4627 are 7,661. Prime factorization of 4627 in exponential form is:

4627 = 71×6611

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 4627 and 4634.

LCM(4627,4634) = 21×71×3311×6611
LCM(4627,4634) = 3063074

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1, 7, 661, 4627

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 4627 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 4627 and 4634, than apply into the LCM equation.

GCF(4627,4634) = 7
LCM(4627,4634) = ( 4627 × 4634) / 7
LCM(4627,4634) = 21441518 / 7
LCM(4627,4634) = 3063074

Properties of LCM 4627 and 4634

(i) The LCM of 4634 and 4627 is associative

LCM of 4627 and 4634 = LCM of 4634 and 4627

Related Least Common Multiples of 4627

Related Least Common Multiples of 4634

Frequently Asked Questions on LCM of 4627 and 4634

1. What is the LCM of 4627 and 4634?

Answer: LCM of 4627 and 4634 is 3063074.

2. What are the Factors of 4627?

Answer: Factors of 4627 are 1, 7, 661, 4627. There are 4 integers that are factors of 4627. The greatest factor of 4627 is 4627.

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 4627 and 4634?

Answer:

Least Common Multiple of 4627 and 4634 = 3063074

Step 1: Find the prime factorization of 4627

4627 = 7 x 661

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 = 3063074 = 2 x 7 x 331 x 661

Step 4: Therefore, the least common multiple of 4627 and 4634 is 3063074.