Least Common Multiple of 1414 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 1414 and 1419 the smallest integer that is 2006466 that is divisible by both numbers.

Least Common Multiple (LCM) of 1414 and 1419 is 2006466.

LCM(1414,1419) = 2006466

LCM of 1414 and 1419

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

LCM of:
and

Least Common Multiple of 1414 and 1419

LCM of 1414 and 1419 is 2006466

Least common multiple can be found by multiplying the highest exponent prime factors of 1414 and 1419. First we will calculate the prime factors of 1414 and 1419.

Prime Factorization of 1414


2 1414
7 707
101 101
1

Prime factors of 1414 are 2, 7,101. Prime factorization of 1414 in exponential form is:

1414 = 21×71×1011

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 1414 and 1419.

LCM(1414,1419) = 21×31×71×111×431×1011
LCM(1414,1419) = 2006466

Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1, 2, 7, 14, 101, 202, 707, 1414

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 1414 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 1414 and 1419, than apply into the LCM equation.

GCF(1414,1419) = 1
LCM(1414,1419) = ( 1414 × 1419) / 1
LCM(1414,1419) = 2006466 / 1
LCM(1414,1419) = 2006466

Properties of LCM 1414 and 1419

(i) The LCM of 1419 and 1414 is associative

LCM of 1414 and 1419 = LCM of 1419 and 1414

Related Least Common Multiples of 1414

Related Least Common Multiples of 1419

Frequently Asked Questions on LCM of 1414 and 1419

1. What is the LCM of 1414 and 1419?

Answer: LCM of 1414 and 1419 is 2006466.

2. What are the Factors of 1414?

Answer: Factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414. There are 8 integers that are factors of 1414. The greatest factor of 1414 is 1414.

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 1414 and 1419?

Answer:

Least Common Multiple of 1414 and 1419 = 2006466

Step 1: Find the prime factorization of 1414

1414 = 2 x 7 x 101

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 = 2006466 = 2 x 3 x 7 x 11 x 43 x 101

Step 4: Therefore, the least common multiple of 1414 and 1419 is 2006466.