Least Common Multiple of 1481 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 1481 and 1488 the smallest integer that is 2203728 that is divisible by both numbers.

Least Common Multiple (LCM) of 1481 and 1488 is 2203728.

LCM(1481,1488) = 2203728

LCM of 1481 and 1488

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

LCM of:
and

Least Common Multiple of 1481 and 1488

LCM of 1481 and 1488 is 2203728

Least common multiple can be found by multiplying the highest exponent prime factors of 1481 and 1488. First we will calculate the prime factors of 1481 and 1488.

Prime Factorization of 1481


1481 1481
1

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

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 1481 and 1488.

LCM(1481,1488) = 24×31×311×14811
LCM(1481,1488) = 2203728

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1, 1481

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 1481 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 1481 and 1488, than apply into the LCM equation.

GCF(1481,1488) = 1
LCM(1481,1488) = ( 1481 × 1488) / 1
LCM(1481,1488) = 2203728 / 1
LCM(1481,1488) = 2203728

Properties of LCM 1481 and 1488

(i) The LCM of 1488 and 1481 is associative

LCM of 1481 and 1488 = LCM of 1488 and 1481

Related Least Common Multiples of 1481

Related Least Common Multiples of 1488

Frequently Asked Questions on LCM of 1481 and 1488

1. What is the LCM of 1481 and 1488?

Answer: LCM of 1481 and 1488 is 2203728.

2. What are the Factors of 1481?

Answer: Factors of 1481 are 1, 1481. There are 2 integers that are factors of 1481. The greatest factor of 1481 is 1481.

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 1481 and 1488?

Answer:

Least Common Multiple of 1481 and 1488 = 2203728

Step 1: Find the prime factorization of 1481

1481 = 1481

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 = 2203728 = 2 x 2 x 2 x 2 x 3 x 31 x 1481

Step 4: Therefore, the least common multiple of 1481 and 1488 is 2203728.