Least Common Multiple of 474 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 474 and 479 the smallest integer that is 227046 that is divisible by both numbers.

Least Common Multiple (LCM) of 474 and 479 is 227046.

LCM(474,479) = 227046

LCM of 474 and 479

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

LCM of:
and

Least Common Multiple of 474 and 479

LCM of 474 and 479 is 227046

Least common multiple can be found by multiplying the highest exponent prime factors of 474 and 479. First we will calculate the prime factors of 474 and 479.

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

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 474 and 479.

LCM(474,479) = 21×31×791×4791
LCM(474,479) = 227046

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Factors of 479

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

1, 479

Least Common Multiple of 474 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 474 and 479, than apply into the LCM equation.

GCF(474,479) = 1
LCM(474,479) = ( 474 × 479) / 1
LCM(474,479) = 227046 / 1
LCM(474,479) = 227046

Properties of LCM 474 and 479

(i) The LCM of 479 and 474 is associative

LCM of 474 and 479 = LCM of 479 and 474

Related Least Common Multiples of 474

Related Least Common Multiples of 479

Frequently Asked Questions on LCM of 474 and 479

1. What is the LCM of 474 and 479?

Answer: LCM of 474 and 479 is 227046.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

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 474 and 479?

Answer:

Least Common Multiple of 474 and 479 = 227046

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

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 = 227046 = 2 x 3 x 79 x 479

Step 4: Therefore, the least common multiple of 474 and 479 is 227046.