Least Common Multiple of 1414 and 1422

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 1422 the smallest integer that is 1005354 that is divisible by both numbers.

Least Common Multiple (LCM) of 1414 and 1422 is 1005354.

LCM(1414,1422) = 1005354

LCM of 1414 and 1422

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

LCM of:
and

Least Common Multiple of 1414 and 1422

LCM of 1414 and 1422 is 1005354

Least common multiple can be found by multiplying the highest exponent prime factors of 1414 and 1422. First we will calculate the prime factors of 1414 and 1422.

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 1422


2 1422
3 711
3 237
79 79
1

Prime factors of 1422 are 2, 3,79. Prime factorization of 1422 in exponential form is:

1422 = 21×32×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1414 and 1422.

LCM(1414,1422) = 21×32×71×791×1011
LCM(1414,1422) = 1005354

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 1422

List of positive integer factors of 1422 that divides 1422 without a remainder.

1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422

Least Common Multiple of 1414 and 1422 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 1422, than apply into the LCM equation.

GCF(1414,1422) = 2
LCM(1414,1422) = ( 1414 × 1422) / 2
LCM(1414,1422) = 2010708 / 2
LCM(1414,1422) = 1005354

Properties of LCM 1414 and 1422

(i) The LCM of 1422 and 1414 is associative

LCM of 1414 and 1422 = LCM of 1422 and 1414

Related Least Common Multiples of 1414

Related Least Common Multiples of 1422

Frequently Asked Questions on LCM of 1414 and 1422

1. What is the LCM of 1414 and 1422?

Answer: LCM of 1414 and 1422 is 1005354.

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 1422?

Answer: Factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422. There are 12 integers that are factors of 1422. The greatest factor of 1422 is 1422.

4. How to Find the LCM of 1414 and 1422?

Answer:

Least Common Multiple of 1414 and 1422 = 1005354

Step 1: Find the prime factorization of 1414

1414 = 2 x 7 x 101

Step 2: Find the prime factorization of 1422

1422 = 2 x 3 x 3 x 79

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

LCM = 1005354 = 2 x 3 x 3 x 7 x 79 x 101

Step 4: Therefore, the least common multiple of 1414 and 1422 is 1005354.