Least Common Multiple of 1418 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 1418 and 1425 the smallest integer that is 2020650 that is divisible by both numbers.

Least Common Multiple (LCM) of 1418 and 1425 is 2020650.

LCM(1418,1425) = 2020650

LCM of 1418 and 1425

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

LCM of:
and

Least Common Multiple of 1418 and 1425

LCM of 1418 and 1425 is 2020650

Least common multiple can be found by multiplying the highest exponent prime factors of 1418 and 1425. First we will calculate the prime factors of 1418 and 1425.

Prime Factorization of 1418


2 1418
709 709
1

Prime factors of 1418 are 2,709. Prime factorization of 1418 in exponential form is:

1418 = 21×7091

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 1418 and 1425.

LCM(1418,1425) = 21×31×52×191×7091
LCM(1418,1425) = 2020650

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1, 2, 709, 1418

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 1418 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 1418 and 1425, than apply into the LCM equation.

GCF(1418,1425) = 1
LCM(1418,1425) = ( 1418 × 1425) / 1
LCM(1418,1425) = 2020650 / 1
LCM(1418,1425) = 2020650

Properties of LCM 1418 and 1425

(i) The LCM of 1425 and 1418 is associative

LCM of 1418 and 1425 = LCM of 1425 and 1418

Related Least Common Multiples of 1418

Related Least Common Multiples of 1425

Frequently Asked Questions on LCM of 1418 and 1425

1. What is the LCM of 1418 and 1425?

Answer: LCM of 1418 and 1425 is 2020650.

2. What are the Factors of 1418?

Answer: Factors of 1418 are 1, 2, 709, 1418. There are 4 integers that are factors of 1418. The greatest factor of 1418 is 1418.

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 1418 and 1425?

Answer:

Least Common Multiple of 1418 and 1425 = 2020650

Step 1: Find the prime factorization of 1418

1418 = 2 x 709

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 = 2020650 = 2 x 3 x 5 x 5 x 19 x 709

Step 4: Therefore, the least common multiple of 1418 and 1425 is 2020650.