Least Common Multiple of 4621 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 4621 and 4625 the smallest integer that is 21372125 that is divisible by both numbers.

Least Common Multiple (LCM) of 4621 and 4625 is 21372125.

LCM(4621,4625) = 21372125

LCM of 4621 and 4625

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

LCM of:
and

Least Common Multiple of 4621 and 4625

LCM of 4621 and 4625 is 21372125

Least common multiple can be found by multiplying the highest exponent prime factors of 4621 and 4625. First we will calculate the prime factors of 4621 and 4625.

Prime Factorization of 4621


4621 4621
1

Prime factors of 4621 are 4621. Prime factorization of 4621 in exponential form is:

4621 = 46211

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 4621 and 4625.

LCM(4621,4625) = 53×371×46211
LCM(4621,4625) = 21372125

Factors of 4621

List of positive integer factors of 4621 that divides 4621 without a remainder.

1, 4621

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 4621 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 4621 and 4625, than apply into the LCM equation.

GCF(4621,4625) = 1
LCM(4621,4625) = ( 4621 × 4625) / 1
LCM(4621,4625) = 21372125 / 1
LCM(4621,4625) = 21372125

Properties of LCM 4621 and 4625

(i) The LCM of 4625 and 4621 is associative

LCM of 4621 and 4625 = LCM of 4625 and 4621

Related Least Common Multiples of 4621

Related Least Common Multiples of 4625

Frequently Asked Questions on LCM of 4621 and 4625

1. What is the LCM of 4621 and 4625?

Answer: LCM of 4621 and 4625 is 21372125.

2. What are the Factors of 4621?

Answer: Factors of 4621 are 1, 4621. There are 2 integers that are factors of 4621. The greatest factor of 4621 is 4621.

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 4621 and 4625?

Answer:

Least Common Multiple of 4621 and 4625 = 21372125

Step 1: Find the prime factorization of 4621

4621 = 4621

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 = 21372125 = 5 x 5 x 5 x 37 x 4621

Step 4: Therefore, the least common multiple of 4621 and 4625 is 21372125.