Least Common Multiple of 4474 and 4479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4474 and 4479 the smallest integer that is 20039046 that is divisible by both numbers.

Least Common Multiple (LCM) of 4474 and 4479 is 20039046.

LCM(4474,4479) = 20039046

LCM of 4474 and 4479

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

LCM of:
and

Least Common Multiple of 4474 and 4479

LCM of 4474 and 4479 is 20039046

Least common multiple can be found by multiplying the highest exponent prime factors of 4474 and 4479. First we will calculate the prime factors of 4474 and 4479.

Prime Factorization of 4474


2 4474
2237 2237
1

Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:

4474 = 21×22371

Prime Factorization of 4479


3 4479
1493 1493
1

Prime factors of 4479 are 3,1493. Prime factorization of 4479 in exponential form is:

4479 = 31×14931

Now multiplying the highest exponent prime factors to calculate the LCM of 4474 and 4479.

LCM(4474,4479) = 21×31×14931×22371
LCM(4474,4479) = 20039046

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1, 2, 2237, 4474

Factors of 4479

List of positive integer factors of 4479 that divides 4479 without a remainder.

1, 3, 1493, 4479

Least Common Multiple of 4474 and 4479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4474 and 4479, than apply into the LCM equation.

GCF(4474,4479) = 1
LCM(4474,4479) = ( 4474 × 4479) / 1
LCM(4474,4479) = 20039046 / 1
LCM(4474,4479) = 20039046

Properties of LCM 4474 and 4479

(i) The LCM of 4479 and 4474 is associative

LCM of 4474 and 4479 = LCM of 4479 and 4474

Related Least Common Multiples of 4474

Related Least Common Multiples of 4479

Frequently Asked Questions on LCM of 4474 and 4479

1. What is the LCM of 4474 and 4479?

Answer: LCM of 4474 and 4479 is 20039046.

2. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

3. What are the Factors of 4479?

Answer: Factors of 4479 are 1, 3, 1493, 4479. There are 4 integers that are factors of 4479. The greatest factor of 4479 is 4479.

4. How to Find the LCM of 4474 and 4479?

Answer:

Least Common Multiple of 4474 and 4479 = 20039046

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

Step 2: Find the prime factorization of 4479

4479 = 3 x 1493

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

LCM = 20039046 = 2 x 3 x 1493 x 2237

Step 4: Therefore, the least common multiple of 4474 and 4479 is 20039046.