Least Common Multiple of 1418 and 1419

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 1419 the smallest integer that is 2012142 that is divisible by both numbers.

Least Common Multiple (LCM) of 1418 and 1419 is 2012142.

LCM(1418,1419) = 2012142

LCM of 1418 and 1419

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

LCM of:
and

Least Common Multiple of 1418 and 1419

LCM of 1418 and 1419 is 2012142

Least common multiple can be found by multiplying the highest exponent prime factors of 1418 and 1419. First we will calculate the prime factors of 1418 and 1419.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1418 and 1419.

LCM(1418,1419) = 21×31×111×431×7091
LCM(1418,1419) = 2012142

Factors of 1418

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

1, 2, 709, 1418

Factors of 1419

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

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

Least Common Multiple of 1418 and 1419 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 1419, than apply into the LCM equation.

GCF(1418,1419) = 1
LCM(1418,1419) = ( 1418 × 1419) / 1
LCM(1418,1419) = 2012142 / 1
LCM(1418,1419) = 2012142

Properties of LCM 1418 and 1419

(i) The LCM of 1419 and 1418 is associative

LCM of 1418 and 1419 = LCM of 1419 and 1418

Related Least Common Multiples of 1418

Related Least Common Multiples of 1419

Frequently Asked Questions on LCM of 1418 and 1419

1. What is the LCM of 1418 and 1419?

Answer: LCM of 1418 and 1419 is 2012142.

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 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.

4. How to Find the LCM of 1418 and 1419?

Answer:

Least Common Multiple of 1418 and 1419 = 2012142

Step 1: Find the prime factorization of 1418

1418 = 2 x 709

Step 2: Find the prime factorization of 1419

1419 = 3 x 11 x 43

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

LCM = 2012142 = 2 x 3 x 11 x 43 x 709

Step 4: Therefore, the least common multiple of 1418 and 1419 is 2012142.