Least Common Multiple of 471 and 479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 471 and 479 the smallest integer that is 225609 that is divisible by both numbers.

Least Common Multiple (LCM) of 471 and 479 is 225609.

LCM(471,479) = 225609

LCM of 471 and 479

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

LCM of:
and

Least Common Multiple of 471 and 479

LCM of 471 and 479 is 225609

Least common multiple can be found by multiplying the highest exponent prime factors of 471 and 479. First we will calculate the prime factors of 471 and 479.

Prime Factorization of 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

Prime Factorization of 479


479 479
1

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

479 = 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 471 and 479.

LCM(471,479) = 31×1571×4791
LCM(471,479) = 225609

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Factors of 479

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

1, 479

Least Common Multiple of 471 and 479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 471 and 479, than apply into the LCM equation.

GCF(471,479) = 1
LCM(471,479) = ( 471 × 479) / 1
LCM(471,479) = 225609 / 1
LCM(471,479) = 225609

Properties of LCM 471 and 479

(i) The LCM of 479 and 471 is associative

LCM of 471 and 479 = LCM of 479 and 471

Related Least Common Multiples of 471

Related Least Common Multiples of 479

Frequently Asked Questions on LCM of 471 and 479

1. What is the LCM of 471 and 479?

Answer: LCM of 471 and 479 is 225609.

2. What are the Factors of 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

3. 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.

4. How to Find the LCM of 471 and 479?

Answer:

Least Common Multiple of 471 and 479 = 225609

Step 1: Find the prime factorization of 471

471 = 3 x 157

Step 2: Find the prime factorization of 479

479 = 479

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

LCM = 225609 = 3 x 157 x 479

Step 4: Therefore, the least common multiple of 471 and 479 is 225609.