Least Common Multiple of 1472 and 1480

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 1480 the smallest integer that is 272320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1472 and 1480 is 272320.

LCM(1472,1480) = 272320

LCM of 1472 and 1480

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

LCM of:
and

Least Common Multiple of 1472 and 1480

LCM of 1472 and 1480 is 272320

Least common multiple can be found by multiplying the highest exponent prime factors of 1472 and 1480. First we will calculate the prime factors of 1472 and 1480.

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 1480


2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 1480 are 2, 5,37. Prime factorization of 1480 in exponential form is:

1480 = 23×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1472 and 1480.

LCM(1472,1480) = 26×51×231×371
LCM(1472,1480) = 272320

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 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480

Least Common Multiple of 1472 and 1480 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 1480, than apply into the LCM equation.

GCF(1472,1480) = 8
LCM(1472,1480) = ( 1472 × 1480) / 8
LCM(1472,1480) = 2178560 / 8
LCM(1472,1480) = 272320

Properties of LCM 1472 and 1480

(i) The LCM of 1480 and 1472 is associative

LCM of 1472 and 1480 = LCM of 1480 and 1472

Related Least Common Multiples of 1472

Related Least Common Multiples of 1480

Frequently Asked Questions on LCM of 1472 and 1480

1. What is the LCM of 1472 and 1480?

Answer: LCM of 1472 and 1480 is 272320.

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 1480?

Answer: Factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480. There are 16 integers that are factors of 1480. The greatest factor of 1480 is 1480.

4. How to Find the LCM of 1472 and 1480?

Answer:

Least Common Multiple of 1472 and 1480 = 272320

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 1480

1480 = 2 x 2 x 2 x 5 x 37

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

LCM = 272320 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 37

Step 4: Therefore, the least common multiple of 1472 and 1480 is 272320.