Least Common Multiple of 1473 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 1473 and 1479 the smallest integer that is 726189 that is divisible by both numbers.

Least Common Multiple (LCM) of 1473 and 1479 is 726189.

LCM(1473,1479) = 726189

LCM of 1473 and 1479

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

LCM of:
and

Least Common Multiple of 1473 and 1479

LCM of 1473 and 1479 is 726189

Least common multiple can be found by multiplying the highest exponent prime factors of 1473 and 1479. First we will calculate the prime factors of 1473 and 1479.

Prime Factorization of 1473


3 1473
491 491
1

Prime factors of 1473 are 3,491. Prime factorization of 1473 in exponential form is:

1473 = 31×4911

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 1473 and 1479.

LCM(1473,1479) = 31×171×291×4911
LCM(1473,1479) = 726189

Factors of 1473

List of positive integer factors of 1473 that divides 1473 without a remainder.

1, 3, 491, 1473

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 1473 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 1473 and 1479, than apply into the LCM equation.

GCF(1473,1479) = 3
LCM(1473,1479) = ( 1473 × 1479) / 3
LCM(1473,1479) = 2178567 / 3
LCM(1473,1479) = 726189

Properties of LCM 1473 and 1479

(i) The LCM of 1479 and 1473 is associative

LCM of 1473 and 1479 = LCM of 1479 and 1473

Related Least Common Multiples of 1473

Related Least Common Multiples of 1479

Frequently Asked Questions on LCM of 1473 and 1479

1. What is the LCM of 1473 and 1479?

Answer: LCM of 1473 and 1479 is 726189.

2. What are the Factors of 1473?

Answer: Factors of 1473 are 1, 3, 491, 1473. There are 4 integers that are factors of 1473. The greatest factor of 1473 is 1473.

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 1473 and 1479?

Answer:

Least Common Multiple of 1473 and 1479 = 726189

Step 1: Find the prime factorization of 1473

1473 = 3 x 491

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 = 726189 = 3 x 17 x 29 x 491

Step 4: Therefore, the least common multiple of 1473 and 1479 is 726189.