Least Common Multiple of 1617 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 1617 and 1625 the smallest integer that is 2627625 that is divisible by both numbers.

Least Common Multiple (LCM) of 1617 and 1625 is 2627625.

LCM(1617,1625) = 2627625

LCM of 1617 and 1625

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

LCM of:
and

Least Common Multiple of 1617 and 1625

LCM of 1617 and 1625 is 2627625

Least common multiple can be found by multiplying the highest exponent prime factors of 1617 and 1625. First we will calculate the prime factors of 1617 and 1625.

Prime Factorization of 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3, 7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

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 1617 and 1625.

LCM(1617,1625) = 31×53×72×111×131
LCM(1617,1625) = 2627625

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617

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 1617 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 1617 and 1625, than apply into the LCM equation.

GCF(1617,1625) = 1
LCM(1617,1625) = ( 1617 × 1625) / 1
LCM(1617,1625) = 2627625 / 1
LCM(1617,1625) = 2627625

Properties of LCM 1617 and 1625

(i) The LCM of 1625 and 1617 is associative

LCM of 1617 and 1625 = LCM of 1625 and 1617

Related Least Common Multiples of 1617

Related Least Common Multiples of 1625

Frequently Asked Questions on LCM of 1617 and 1625

1. What is the LCM of 1617 and 1625?

Answer: LCM of 1617 and 1625 is 2627625.

2. What are the Factors of 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

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 1617 and 1625?

Answer:

Least Common Multiple of 1617 and 1625 = 2627625

Step 1: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

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 = 2627625 = 3 x 5 x 5 x 5 x 7 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 1617 and 1625 is 2627625.