Least Common Multiple of 1419 and 1425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1419 and 1425 the smallest integer that is 674025 that is divisible by both numbers.

Least Common Multiple (LCM) of 1419 and 1425 is 674025.

LCM(1419,1425) = 674025

LCM of 1419 and 1425

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

LCM of:
and

Least Common Multiple of 1419 and 1425

LCM of 1419 and 1425 is 674025

Least common multiple can be found by multiplying the highest exponent prime factors of 1419 and 1425. First we will calculate the prime factors of 1419 and 1425.

Prime Factorization of 1419


3 1419
11 473
43 43
1

Prime factors of 1419 are 3, 11,43. Prime factorization of 1419 in exponential form is:

1419 = 31×111×431

Prime Factorization of 1425


3 1425
5 475
5 95
19 19
1

Prime factors of 1425 are 3, 5,19. Prime factorization of 1425 in exponential form is:

1425 = 31×52×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1419 and 1425.

LCM(1419,1425) = 31×52×111×191×431
LCM(1419,1425) = 674025

Factors of 1419

List of positive integer factors of 1419 that divides 1419 without a remainder.

1, 3, 11, 33, 43, 129, 473, 1419

Factors of 1425

List of positive integer factors of 1425 that divides 1425 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425

Least Common Multiple of 1419 and 1425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1419 and 1425, than apply into the LCM equation.

GCF(1419,1425) = 3
LCM(1419,1425) = ( 1419 × 1425) / 3
LCM(1419,1425) = 2022075 / 3
LCM(1419,1425) = 674025

Properties of LCM 1419 and 1425

(i) The LCM of 1425 and 1419 is associative

LCM of 1419 and 1425 = LCM of 1425 and 1419

Related Least Common Multiples of 1419

Related Least Common Multiples of 1425

Frequently Asked Questions on LCM of 1419 and 1425

1. What is the LCM of 1419 and 1425?

Answer: LCM of 1419 and 1425 is 674025.

2. What are the Factors of 1419?

Answer: Factors of 1419 are 1, 3, 11, 33, 43, 129, 473, 1419. There are 8 integers that are factors of 1419. The greatest factor of 1419 is 1419.

3. What are the Factors of 1425?

Answer: Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425. There are 12 integers that are factors of 1425. The greatest factor of 1425 is 1425.

4. How to Find the LCM of 1419 and 1425?

Answer:

Least Common Multiple of 1419 and 1425 = 674025

Step 1: Find the prime factorization of 1419

1419 = 3 x 11 x 43

Step 2: Find the prime factorization of 1425

1425 = 3 x 5 x 5 x 19

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

LCM = 674025 = 3 x 5 x 5 x 11 x 19 x 43

Step 4: Therefore, the least common multiple of 1419 and 1425 is 674025.