Least Common Multiple of 4623 and 4625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4623 and 4625 the smallest integer that is 21381375 that is divisible by both numbers.

Least Common Multiple (LCM) of 4623 and 4625 is 21381375.

LCM(4623,4625) = 21381375

LCM of 4623 and 4625

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

LCM of:
and

Least Common Multiple of 4623 and 4625

LCM of 4623 and 4625 is 21381375

Least common multiple can be found by multiplying the highest exponent prime factors of 4623 and 4625. First we will calculate the prime factors of 4623 and 4625.

Prime Factorization of 4623


3 4623
23 1541
67 67
1

Prime factors of 4623 are 3, 23,67. Prime factorization of 4623 in exponential form is:

4623 = 31×231×671

Prime Factorization of 4625


5 4625
5 925
5 185
37 37
1

Prime factors of 4625 are 5,37. Prime factorization of 4625 in exponential form is:

4625 = 53×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4623 and 4625.

LCM(4623,4625) = 31×53×231×371×671
LCM(4623,4625) = 21381375

Factors of 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1, 3, 23, 67, 69, 201, 1541, 4623

Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1, 5, 25, 37, 125, 185, 925, 4625

Least Common Multiple of 4623 and 4625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4623 and 4625, than apply into the LCM equation.

GCF(4623,4625) = 1
LCM(4623,4625) = ( 4623 × 4625) / 1
LCM(4623,4625) = 21381375 / 1
LCM(4623,4625) = 21381375

Properties of LCM 4623 and 4625

(i) The LCM of 4625 and 4623 is associative

LCM of 4623 and 4625 = LCM of 4625 and 4623

Related Least Common Multiples of 4623

Related Least Common Multiples of 4625

Frequently Asked Questions on LCM of 4623 and 4625

1. What is the LCM of 4623 and 4625?

Answer: LCM of 4623 and 4625 is 21381375.

2. What are the Factors of 4623?

Answer: Factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623. There are 8 integers that are factors of 4623. The greatest factor of 4623 is 4623.

3. What are the Factors of 4625?

Answer: Factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625. There are 8 integers that are factors of 4625. The greatest factor of 4625 is 4625.

4. How to Find the LCM of 4623 and 4625?

Answer:

Least Common Multiple of 4623 and 4625 = 21381375

Step 1: Find the prime factorization of 4623

4623 = 3 x 23 x 67

Step 2: Find the prime factorization of 4625

4625 = 5 x 5 x 5 x 37

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

LCM = 21381375 = 3 x 5 x 5 x 5 x 23 x 37 x 67

Step 4: Therefore, the least common multiple of 4623 and 4625 is 21381375.