Least Common Multiple of 1619 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 1619 and 1625 the smallest integer that is 2630875 that is divisible by both numbers.

Least Common Multiple (LCM) of 1619 and 1625 is 2630875.

LCM(1619,1625) = 2630875

LCM of 1619 and 1625

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

LCM of:
and

Least Common Multiple of 1619 and 1625

LCM of 1619 and 1625 is 2630875

Least common multiple can be found by multiplying the highest exponent prime factors of 1619 and 1625. First we will calculate the prime factors of 1619 and 1625.

Prime Factorization of 1619


1619 1619
1

Prime factors of 1619 are 1619. Prime factorization of 1619 in exponential form is:

1619 = 16191

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 1619 and 1625.

LCM(1619,1625) = 53×131×16191
LCM(1619,1625) = 2630875

Factors of 1619

List of positive integer factors of 1619 that divides 1619 without a remainder.

1, 1619

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 1619 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 1619 and 1625, than apply into the LCM equation.

GCF(1619,1625) = 1
LCM(1619,1625) = ( 1619 × 1625) / 1
LCM(1619,1625) = 2630875 / 1
LCM(1619,1625) = 2630875

Properties of LCM 1619 and 1625

(i) The LCM of 1625 and 1619 is associative

LCM of 1619 and 1625 = LCM of 1625 and 1619

Related Least Common Multiples of 1619

Related Least Common Multiples of 1625

Frequently Asked Questions on LCM of 1619 and 1625

1. What is the LCM of 1619 and 1625?

Answer: LCM of 1619 and 1625 is 2630875.

2. What are the Factors of 1619?

Answer: Factors of 1619 are 1, 1619. There are 2 integers that are factors of 1619. The greatest factor of 1619 is 1619.

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 1619 and 1625?

Answer:

Least Common Multiple of 1619 and 1625 = 2630875

Step 1: Find the prime factorization of 1619

1619 = 1619

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 = 2630875 = 5 x 5 x 5 x 13 x 1619

Step 4: Therefore, the least common multiple of 1619 and 1625 is 2630875.