Least Common Multiple of 1620 and 1625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1620 and 1625 the smallest integer that is 526500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1620 and 1625 is 526500.

LCM(1620,1625) = 526500

LCM of 1620 and 1625

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

LCM of:
and

Least Common Multiple of 1620 and 1625

LCM of 1620 and 1625 is 526500

Least common multiple can be found by multiplying the highest exponent prime factors of 1620 and 1625. First we will calculate the prime factors of 1620 and 1625.

Prime Factorization of 1620


2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1620 are 2, 3,5. Prime factorization of 1620 in exponential form is:

1620 = 22×34×51

Prime Factorization of 1625


5 1625
5 325
5 65
13 13
1

Prime factors of 1625 are 5,13. Prime factorization of 1625 in exponential form is:

1625 = 53×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1620 and 1625.

LCM(1620,1625) = 22×34×53×131
LCM(1620,1625) = 526500

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1, 5, 13, 25, 65, 125, 325, 1625

Least Common Multiple of 1620 and 1625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1620 and 1625, than apply into the LCM equation.

GCF(1620,1625) = 5
LCM(1620,1625) = ( 1620 × 1625) / 5
LCM(1620,1625) = 2632500 / 5
LCM(1620,1625) = 526500

Properties of LCM 1620 and 1625

(i) The LCM of 1625 and 1620 is associative

LCM of 1620 and 1625 = LCM of 1625 and 1620

Related Least Common Multiples of 1620

Related Least Common Multiples of 1625

Frequently Asked Questions on LCM of 1620 and 1625

1. What is the LCM of 1620 and 1625?

Answer: LCM of 1620 and 1625 is 526500.

2. What are the Factors of 1620?

Answer: Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. There are 30 integers that are factors of 1620. The greatest factor of 1620 is 1620.

3. What are the Factors of 1625?

Answer: Factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625. There are 8 integers that are factors of 1625. The greatest factor of 1625 is 1625.

4. How to Find the LCM of 1620 and 1625?

Answer:

Least Common Multiple of 1620 and 1625 = 526500

Step 1: Find the prime factorization of 1620

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 1625

1625 = 5 x 5 x 5 x 13

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

LCM = 526500 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 1620 and 1625 is 526500.