Least Common Multiple of 4627 and 4633

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 4633 the smallest integer that is 21436891 that is divisible by both numbers.

Least Common Multiple (LCM) of 4627 and 4633 is 21436891.

LCM(4627,4633) = 21436891

LCM of 4627 and 4633

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

LCM of:
and

Least Common Multiple of 4627 and 4633

LCM of 4627 and 4633 is 21436891

Least common multiple can be found by multiplying the highest exponent prime factors of 4627 and 4633. First we will calculate the prime factors of 4627 and 4633.

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 4633


41 4633
113 113
1

Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:

4633 = 411×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4627 and 4633.

LCM(4627,4633) = 71×411×1131×6611
LCM(4627,4633) = 21436891

Factors of 4627

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

1, 7, 661, 4627

Factors of 4633

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

1, 41, 113, 4633

Least Common Multiple of 4627 and 4633 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 4633, than apply into the LCM equation.

GCF(4627,4633) = 1
LCM(4627,4633) = ( 4627 × 4633) / 1
LCM(4627,4633) = 21436891 / 1
LCM(4627,4633) = 21436891

Properties of LCM 4627 and 4633

(i) The LCM of 4633 and 4627 is associative

LCM of 4627 and 4633 = LCM of 4633 and 4627

Related Least Common Multiples of 4627

Related Least Common Multiples of 4633

Frequently Asked Questions on LCM of 4627 and 4633

1. What is the LCM of 4627 and 4633?

Answer: LCM of 4627 and 4633 is 21436891.

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 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.

4. How to Find the LCM of 4627 and 4633?

Answer:

Least Common Multiple of 4627 and 4633 = 21436891

Step 1: Find the prime factorization of 4627

4627 = 7 x 661

Step 2: Find the prime factorization of 4633

4633 = 41 x 113

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

LCM = 21436891 = 7 x 41 x 113 x 661

Step 4: Therefore, the least common multiple of 4627 and 4633 is 21436891.