Least Common Multiple of 1472 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 1472 and 1479 the smallest integer that is 2177088 that is divisible by both numbers.

Least Common Multiple (LCM) of 1472 and 1479 is 2177088.

LCM(1472,1479) = 2177088

LCM of 1472 and 1479

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

LCM of:
and

Least Common Multiple of 1472 and 1479

LCM of 1472 and 1479 is 2177088

Least common multiple can be found by multiplying the highest exponent prime factors of 1472 and 1479. First we will calculate the prime factors of 1472 and 1479.

Prime Factorization of 1472


2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:

1472 = 26×231

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 1472 and 1479.

LCM(1472,1479) = 26×31×171×231×291
LCM(1472,1479) = 2177088

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

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 1472 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 1472 and 1479, than apply into the LCM equation.

GCF(1472,1479) = 1
LCM(1472,1479) = ( 1472 × 1479) / 1
LCM(1472,1479) = 2177088 / 1
LCM(1472,1479) = 2177088

Properties of LCM 1472 and 1479

(i) The LCM of 1479 and 1472 is associative

LCM of 1472 and 1479 = LCM of 1479 and 1472

Related Least Common Multiples of 1472

Related Least Common Multiples of 1479

Frequently Asked Questions on LCM of 1472 and 1479

1. What is the LCM of 1472 and 1479?

Answer: LCM of 1472 and 1479 is 2177088.

2. What are the Factors of 1472?

Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.

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 1472 and 1479?

Answer:

Least Common Multiple of 1472 and 1479 = 2177088

Step 1: Find the prime factorization of 1472

1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23

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 = 2177088 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23 x 29

Step 4: Therefore, the least common multiple of 1472 and 1479 is 2177088.