Least Common Multiple of 479 and 487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 479 and 487 the smallest integer that is 233273 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 487 is 233273.

LCM(479,487) = 233273

LCM of 479 and 487

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

LCM of:
and

Least Common Multiple of 479 and 487

LCM of 479 and 487 is 233273

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 487. First we will calculate the prime factors of 479 and 487.

Prime Factorization of 479


479 479
1

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 4791

Prime Factorization of 487


487 487
1

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

487 = 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 479 and 487.

LCM(479,487) = 4791×4871
LCM(479,487) = 233273

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1, 479

Factors of 487

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

1, 487

Least Common Multiple of 479 and 487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 479 and 487, than apply into the LCM equation.

GCF(479,487) = 1
LCM(479,487) = ( 479 × 487) / 1
LCM(479,487) = 233273 / 1
LCM(479,487) = 233273

Properties of LCM 479 and 487

(i) The LCM of 487 and 479 is associative

LCM of 479 and 487 = LCM of 487 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 487

Frequently Asked Questions on LCM of 479 and 487

1. What is the LCM of 479 and 487?

Answer: LCM of 479 and 487 is 233273.

2. What are the Factors of 479?

Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.

3. 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.

4. How to Find the LCM of 479 and 487?

Answer:

Least Common Multiple of 479 and 487 = 233273

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 487

487 = 487

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

LCM = 233273 = 479 x 487

Step 4: Therefore, the least common multiple of 479 and 487 is 233273.