Least Common Multiple of 1417 and 1423

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 1423 the smallest integer that is 2016391 that is divisible by both numbers.

Least Common Multiple (LCM) of 1417 and 1423 is 2016391.

LCM(1417,1423) = 2016391

LCM of 1417 and 1423

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

LCM of:
and

Least Common Multiple of 1417 and 1423

LCM of 1417 and 1423 is 2016391

Least common multiple can be found by multiplying the highest exponent prime factors of 1417 and 1423. First we will calculate the prime factors of 1417 and 1423.

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 1423


1423 1423
1

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 1417 and 1423.

LCM(1417,1423) = 131×1091×14231
LCM(1417,1423) = 2016391

Factors of 1417

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

1, 13, 109, 1417

Factors of 1423

List of positive integer factors of 1423 that divides 1423 without a remainder.

1, 1423

Least Common Multiple of 1417 and 1423 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 1423, than apply into the LCM equation.

GCF(1417,1423) = 1
LCM(1417,1423) = ( 1417 × 1423) / 1
LCM(1417,1423) = 2016391 / 1
LCM(1417,1423) = 2016391

Properties of LCM 1417 and 1423

(i) The LCM of 1423 and 1417 is associative

LCM of 1417 and 1423 = LCM of 1423 and 1417

Related Least Common Multiples of 1417

Related Least Common Multiples of 1423

Frequently Asked Questions on LCM of 1417 and 1423

1. What is the LCM of 1417 and 1423?

Answer: LCM of 1417 and 1423 is 2016391.

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 1423?

Answer: Factors of 1423 are 1, 1423. There are 2 integers that are factors of 1423. The greatest factor of 1423 is 1423.

4. How to Find the LCM of 1417 and 1423?

Answer:

Least Common Multiple of 1417 and 1423 = 2016391

Step 1: Find the prime factorization of 1417

1417 = 13 x 109

Step 2: Find the prime factorization of 1423

1423 = 1423

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

LCM = 2016391 = 13 x 109 x 1423

Step 4: Therefore, the least common multiple of 1417 and 1423 is 2016391.