Least Common Multiple of 1625 and 1626

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 1626 the smallest integer that is 2642250 that is divisible by both numbers.

Least Common Multiple (LCM) of 1625 and 1626 is 2642250.

LCM(1625,1626) = 2642250

LCM of 1625 and 1626

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

LCM of:
and

Least Common Multiple of 1625 and 1626

LCM of 1625 and 1626 is 2642250

Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1626. First we will calculate the prime factors of 1625 and 1626.

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 1626


2 1626
3 813
271 271
1

Prime factors of 1626 are 2, 3,271. Prime factorization of 1626 in exponential form is:

1626 = 21×31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1626.

LCM(1625,1626) = 21×31×53×131×2711
LCM(1625,1626) = 2642250

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 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1, 2, 3, 6, 271, 542, 813, 1626

Least Common Multiple of 1625 and 1626 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 1626, than apply into the LCM equation.

GCF(1625,1626) = 1
LCM(1625,1626) = ( 1625 × 1626) / 1
LCM(1625,1626) = 2642250 / 1
LCM(1625,1626) = 2642250

Properties of LCM 1625 and 1626

(i) The LCM of 1626 and 1625 is associative

LCM of 1625 and 1626 = LCM of 1626 and 1625

Related Least Common Multiples of 1625

Related Least Common Multiples of 1626

Frequently Asked Questions on LCM of 1625 and 1626

1. What is the LCM of 1625 and 1626?

Answer: LCM of 1625 and 1626 is 2642250.

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 1626?

Answer: Factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626. There are 8 integers that are factors of 1626. The greatest factor of 1626 is 1626.

4. How to Find the LCM of 1625 and 1626?

Answer:

Least Common Multiple of 1625 and 1626 = 2642250

Step 1: Find the prime factorization of 1625

1625 = 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 1626

1626 = 2 x 3 x 271

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

LCM = 2642250 = 2 x 3 x 5 x 5 x 5 x 13 x 271

Step 4: Therefore, the least common multiple of 1625 and 1626 is 2642250.