Least Common Multiple of 1417 and 1424

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 1424 the smallest integer that is 2017808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1417 and 1424 is 2017808.

LCM(1417,1424) = 2017808

LCM of 1417 and 1424

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

LCM of:
and

Least Common Multiple of 1417 and 1424

LCM of 1417 and 1424 is 2017808

Least common multiple can be found by multiplying the highest exponent prime factors of 1417 and 1424. First we will calculate the prime factors of 1417 and 1424.

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 1424


2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:

1424 = 24×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1417 and 1424.

LCM(1417,1424) = 24×131×891×1091
LCM(1417,1424) = 2017808

Factors of 1417

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

1, 13, 109, 1417

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1, 2, 4, 8, 16, 89, 178, 356, 712, 1424

Least Common Multiple of 1417 and 1424 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 1424, than apply into the LCM equation.

GCF(1417,1424) = 1
LCM(1417,1424) = ( 1417 × 1424) / 1
LCM(1417,1424) = 2017808 / 1
LCM(1417,1424) = 2017808

Properties of LCM 1417 and 1424

(i) The LCM of 1424 and 1417 is associative

LCM of 1417 and 1424 = LCM of 1424 and 1417

Related Least Common Multiples of 1417

Related Least Common Multiples of 1424

Frequently Asked Questions on LCM of 1417 and 1424

1. What is the LCM of 1417 and 1424?

Answer: LCM of 1417 and 1424 is 2017808.

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 1424?

Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.

4. How to Find the LCM of 1417 and 1424?

Answer:

Least Common Multiple of 1417 and 1424 = 2017808

Step 1: Find the prime factorization of 1417

1417 = 13 x 109

Step 2: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

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

LCM = 2017808 = 2 x 2 x 2 x 2 x 13 x 89 x 109

Step 4: Therefore, the least common multiple of 1417 and 1424 is 2017808.