Least Common Multiple of 1625 and 1633

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 1633 the smallest integer that is 2653625 that is divisible by both numbers.

Least Common Multiple (LCM) of 1625 and 1633 is 2653625.

LCM(1625,1633) = 2653625

LCM of 1625 and 1633

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

LCM of:
and

Least Common Multiple of 1625 and 1633

LCM of 1625 and 1633 is 2653625

Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1633. First we will calculate the prime factors of 1625 and 1633.

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 1633


23 1633
71 71
1

Prime factors of 1633 are 23,71. Prime factorization of 1633 in exponential form is:

1633 = 231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1633.

LCM(1625,1633) = 53×131×231×711
LCM(1625,1633) = 2653625

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 1633

List of positive integer factors of 1633 that divides 1633 without a remainder.

1, 23, 71, 1633

Least Common Multiple of 1625 and 1633 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 1633, than apply into the LCM equation.

GCF(1625,1633) = 1
LCM(1625,1633) = ( 1625 × 1633) / 1
LCM(1625,1633) = 2653625 / 1
LCM(1625,1633) = 2653625

Properties of LCM 1625 and 1633

(i) The LCM of 1633 and 1625 is associative

LCM of 1625 and 1633 = LCM of 1633 and 1625

Related Least Common Multiples of 1625

Related Least Common Multiples of 1633

Frequently Asked Questions on LCM of 1625 and 1633

1. What is the LCM of 1625 and 1633?

Answer: LCM of 1625 and 1633 is 2653625.

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 1633?

Answer: Factors of 1633 are 1, 23, 71, 1633. There are 4 integers that are factors of 1633. The greatest factor of 1633 is 1633.

4. How to Find the LCM of 1625 and 1633?

Answer:

Least Common Multiple of 1625 and 1633 = 2653625

Step 1: Find the prime factorization of 1625

1625 = 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 1633

1633 = 23 x 71

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

LCM = 2653625 = 5 x 5 x 5 x 13 x 23 x 71

Step 4: Therefore, the least common multiple of 1625 and 1633 is 2653625.