Least Common Multiple of 1625 and 1630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1625 and 1630 the smallest integer that is 529750 that is divisible by both numbers.

Least Common Multiple (LCM) of 1625 and 1630 is 529750.

LCM(1625,1630) = 529750

LCM of 1625 and 1630

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

LCM of:
and

Least Common Multiple of 1625 and 1630

LCM of 1625 and 1630 is 529750

Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1630. First we will calculate the prime factors of 1625 and 1630.

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

Prime Factorization of 1630


2 1630
5 815
163 163
1

Prime factors of 1630 are 2, 5,163. Prime factorization of 1630 in exponential form is:

1630 = 21×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1630.

LCM(1625,1630) = 21×53×131×1631
LCM(1625,1630) = 529750

Factors of 1625

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

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

Factors of 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1, 2, 5, 10, 163, 326, 815, 1630

Least Common Multiple of 1625 and 1630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1625 and 1630, than apply into the LCM equation.

GCF(1625,1630) = 5
LCM(1625,1630) = ( 1625 × 1630) / 5
LCM(1625,1630) = 2648750 / 5
LCM(1625,1630) = 529750

Properties of LCM 1625 and 1630

(i) The LCM of 1630 and 1625 is associative

LCM of 1625 and 1630 = LCM of 1630 and 1625

Related Least Common Multiples of 1625

Related Least Common Multiples of 1630

Frequently Asked Questions on LCM of 1625 and 1630

1. What is the LCM of 1625 and 1630?

Answer: LCM of 1625 and 1630 is 529750.

2. 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.

3. What are the Factors of 1630?

Answer: Factors of 1630 are 1, 2, 5, 10, 163, 326, 815, 1630. There are 8 integers that are factors of 1630. The greatest factor of 1630 is 1630.

4. How to Find the LCM of 1625 and 1630?

Answer:

Least Common Multiple of 1625 and 1630 = 529750

Step 1: Find the prime factorization of 1625

1625 = 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 1630

1630 = 2 x 5 x 163

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

LCM = 529750 = 2 x 5 x 5 x 5 x 13 x 163

Step 4: Therefore, the least common multiple of 1625 and 1630 is 529750.