Least Common Multiple of 1480 and 1488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1480 and 1488 the smallest integer that is 275280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1480 and 1488 is 275280.

LCM(1480,1488) = 275280

LCM of 1480 and 1488

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

LCM of:
and

Least Common Multiple of 1480 and 1488

LCM of 1480 and 1488 is 275280

Least common multiple can be found by multiplying the highest exponent prime factors of 1480 and 1488. First we will calculate the prime factors of 1480 and 1488.

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

Prime Factorization of 1488


2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 1488 are 2, 3,31. Prime factorization of 1488 in exponential form is:

1488 = 24×31×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1480 and 1488.

LCM(1480,1488) = 24×31×51×311×371
LCM(1480,1488) = 275280

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

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488

Least Common Multiple of 1480 and 1488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1480 and 1488, than apply into the LCM equation.

GCF(1480,1488) = 8
LCM(1480,1488) = ( 1480 × 1488) / 8
LCM(1480,1488) = 2202240 / 8
LCM(1480,1488) = 275280

Properties of LCM 1480 and 1488

(i) The LCM of 1488 and 1480 is associative

LCM of 1480 and 1488 = LCM of 1488 and 1480

Related Least Common Multiples of 1480

Related Least Common Multiples of 1488

Frequently Asked Questions on LCM of 1480 and 1488

1. What is the LCM of 1480 and 1488?

Answer: LCM of 1480 and 1488 is 275280.

2. 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.

3. What are the Factors of 1488?

Answer: Factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488. There are 20 integers that are factors of 1488. The greatest factor of 1488 is 1488.

4. How to Find the LCM of 1480 and 1488?

Answer:

Least Common Multiple of 1480 and 1488 = 275280

Step 1: Find the prime factorization of 1480

1480 = 2 x 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 1488

1488 = 2 x 2 x 2 x 2 x 3 x 31

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

LCM = 275280 = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 37

Step 4: Therefore, the least common multiple of 1480 and 1488 is 275280.