Least Common Multiple of 4472 and 4478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4472 and 4478 the smallest integer that is 10012808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4472 and 4478 is 10012808.

LCM(4472,4478) = 10012808

LCM of 4472 and 4478

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

LCM of:
and

Least Common Multiple of 4472 and 4478

LCM of 4472 and 4478 is 10012808

Least common multiple can be found by multiplying the highest exponent prime factors of 4472 and 4478. First we will calculate the prime factors of 4472 and 4478.

Prime Factorization of 4472


2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 4472 are 2, 13,43. Prime factorization of 4472 in exponential form is:

4472 = 23×131×431

Prime Factorization of 4478


2 4478
2239 2239
1

Prime factors of 4478 are 2,2239. Prime factorization of 4478 in exponential form is:

4478 = 21×22391

Now multiplying the highest exponent prime factors to calculate the LCM of 4472 and 4478.

LCM(4472,4478) = 23×131×431×22391
LCM(4472,4478) = 10012808

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472

Factors of 4478

List of positive integer factors of 4478 that divides 4478 without a remainder.

1, 2, 2239, 4478

Least Common Multiple of 4472 and 4478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4472 and 4478, than apply into the LCM equation.

GCF(4472,4478) = 2
LCM(4472,4478) = ( 4472 × 4478) / 2
LCM(4472,4478) = 20025616 / 2
LCM(4472,4478) = 10012808

Properties of LCM 4472 and 4478

(i) The LCM of 4478 and 4472 is associative

LCM of 4472 and 4478 = LCM of 4478 and 4472

Related Least Common Multiples of 4472

Related Least Common Multiples of 4478

Frequently Asked Questions on LCM of 4472 and 4478

1. What is the LCM of 4472 and 4478?

Answer: LCM of 4472 and 4478 is 10012808.

2. What are the Factors of 4472?

Answer: Factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472. There are 16 integers that are factors of 4472. The greatest factor of 4472 is 4472.

3. What are the Factors of 4478?

Answer: Factors of 4478 are 1, 2, 2239, 4478. There are 4 integers that are factors of 4478. The greatest factor of 4478 is 4478.

4. How to Find the LCM of 4472 and 4478?

Answer:

Least Common Multiple of 4472 and 4478 = 10012808

Step 1: Find the prime factorization of 4472

4472 = 2 x 2 x 2 x 13 x 43

Step 2: Find the prime factorization of 4478

4478 = 2 x 2239

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

LCM = 10012808 = 2 x 2 x 2 x 13 x 43 x 2239

Step 4: Therefore, the least common multiple of 4472 and 4478 is 10012808.