Least Common Multiple of 1475 and 1479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1475 and 1479 the smallest integer that is 2181525 that is divisible by both numbers.

Least Common Multiple (LCM) of 1475 and 1479 is 2181525.

LCM(1475,1479) = 2181525

LCM of 1475 and 1479

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

LCM of:
and

Least Common Multiple of 1475 and 1479

LCM of 1475 and 1479 is 2181525

Least common multiple can be found by multiplying the highest exponent prime factors of 1475 and 1479. First we will calculate the prime factors of 1475 and 1479.

Prime Factorization of 1475


5 1475
5 295
59 59
1

Prime factors of 1475 are 5,59. Prime factorization of 1475 in exponential form is:

1475 = 52×591

Prime Factorization of 1479


3 1479
17 493
29 29
1

Prime factors of 1479 are 3, 17,29. Prime factorization of 1479 in exponential form is:

1479 = 31×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1475 and 1479.

LCM(1475,1479) = 31×52×171×291×591
LCM(1475,1479) = 2181525

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1, 5, 25, 59, 295, 1475

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1, 3, 17, 29, 51, 87, 493, 1479

Least Common Multiple of 1475 and 1479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1475 and 1479, than apply into the LCM equation.

GCF(1475,1479) = 1
LCM(1475,1479) = ( 1475 × 1479) / 1
LCM(1475,1479) = 2181525 / 1
LCM(1475,1479) = 2181525

Properties of LCM 1475 and 1479

(i) The LCM of 1479 and 1475 is associative

LCM of 1475 and 1479 = LCM of 1479 and 1475

Related Least Common Multiples of 1475

Related Least Common Multiples of 1479

Frequently Asked Questions on LCM of 1475 and 1479

1. What is the LCM of 1475 and 1479?

Answer: LCM of 1475 and 1479 is 2181525.

2. What are the Factors of 1475?

Answer: Factors of 1475 are 1, 5, 25, 59, 295, 1475. There are 6 integers that are factors of 1475. The greatest factor of 1475 is 1475.

3. What are the Factors of 1479?

Answer: Factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479. There are 8 integers that are factors of 1479. The greatest factor of 1479 is 1479.

4. How to Find the LCM of 1475 and 1479?

Answer:

Least Common Multiple of 1475 and 1479 = 2181525

Step 1: Find the prime factorization of 1475

1475 = 5 x 5 x 59

Step 2: Find the prime factorization of 1479

1479 = 3 x 17 x 29

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

LCM = 2181525 = 3 x 5 x 5 x 17 x 29 x 59

Step 4: Therefore, the least common multiple of 1475 and 1479 is 2181525.