Least Common Multiple of 487 and 488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 487 and 488 the smallest integer that is 237656 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 488 is 237656.

LCM(487,488) = 237656

LCM of 487 and 488

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

LCM of:
and

Least Common Multiple of 487 and 488

LCM of 487 and 488 is 237656

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 488. First we will calculate the prime factors of 487 and 488.

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

Prime Factorization of 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

Now multiplying the highest exponent prime factors to calculate the LCM of 487 and 488.

LCM(487,488) = 23×611×4871
LCM(487,488) = 237656

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Least Common Multiple of 487 and 488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 487 and 488, than apply into the LCM equation.

GCF(487,488) = 1
LCM(487,488) = ( 487 × 488) / 1
LCM(487,488) = 237656 / 1
LCM(487,488) = 237656

Properties of LCM 487 and 488

(i) The LCM of 488 and 487 is associative

LCM of 487 and 488 = LCM of 488 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 487 and 488

1. What is the LCM of 487 and 488?

Answer: LCM of 487 and 488 is 237656.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

3. What are the Factors of 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

4. How to Find the LCM of 487 and 488?

Answer:

Least Common Multiple of 487 and 488 = 237656

Step 1: Find the prime factorization of 487

487 = 487

Step 2: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

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

LCM = 237656 = 2 x 2 x 2 x 61 x 487

Step 4: Therefore, the least common multiple of 487 and 488 is 237656.