Least Common Multiple of 1417 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 1417 and 1422 the smallest integer that is 2014974 that is divisible by both numbers.

Least Common Multiple (LCM) of 1417 and 1422 is 2014974.

LCM(1417,1422) = 2014974

LCM of 1417 and 1422

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

LCM of:
and

Least Common Multiple of 1417 and 1422

LCM of 1417 and 1422 is 2014974

Least common multiple can be found by multiplying the highest exponent prime factors of 1417 and 1422. First we will calculate the prime factors of 1417 and 1422.

Prime Factorization of 1417


13 1417
109 109
1

Prime factors of 1417 are 13,109. Prime factorization of 1417 in exponential form is:

1417 = 131×1091

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 1417 and 1422.

LCM(1417,1422) = 21×32×131×791×1091
LCM(1417,1422) = 2014974

Factors of 1417

List of positive integer factors of 1417 that divides 1417 without a remainder.

1, 13, 109, 1417

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 1417 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 1417 and 1422, than apply into the LCM equation.

GCF(1417,1422) = 1
LCM(1417,1422) = ( 1417 × 1422) / 1
LCM(1417,1422) = 2014974 / 1
LCM(1417,1422) = 2014974

Properties of LCM 1417 and 1422

(i) The LCM of 1422 and 1417 is associative

LCM of 1417 and 1422 = LCM of 1422 and 1417

Related Least Common Multiples of 1417

Related Least Common Multiples of 1422

Frequently Asked Questions on LCM of 1417 and 1422

1. What is the LCM of 1417 and 1422?

Answer: LCM of 1417 and 1422 is 2014974.

2. What are the Factors of 1417?

Answer: Factors of 1417 are 1, 13, 109, 1417. There are 4 integers that are factors of 1417. The greatest factor of 1417 is 1417.

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 1417 and 1422?

Answer:

Least Common Multiple of 1417 and 1422 = 2014974

Step 1: Find the prime factorization of 1417

1417 = 13 x 109

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 = 2014974 = 2 x 3 x 3 x 13 x 79 x 109

Step 4: Therefore, the least common multiple of 1417 and 1422 is 2014974.