Least Common Multiple of 4477 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 4477 and 4478 the smallest integer that is 20048006 that is divisible by both numbers.

Least Common Multiple (LCM) of 4477 and 4478 is 20048006.

LCM(4477,4478) = 20048006

LCM of 4477 and 4478

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

LCM of:
and

Least Common Multiple of 4477 and 4478

LCM of 4477 and 4478 is 20048006

Least common multiple can be found by multiplying the highest exponent prime factors of 4477 and 4478. First we will calculate the prime factors of 4477 and 4478.

Prime Factorization of 4477


11 4477
11 407
37 37
1

Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:

4477 = 112×371

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 4477 and 4478.

LCM(4477,4478) = 21×112×371×22391
LCM(4477,4478) = 20048006

Factors of 4477

List of positive integer factors of 4477 that divides 4477 without a remainder.

1, 11, 37, 121, 407, 4477

Factors of 4478

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

1, 2, 2239, 4478

Least Common Multiple of 4477 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 4477 and 4478, than apply into the LCM equation.

GCF(4477,4478) = 1
LCM(4477,4478) = ( 4477 × 4478) / 1
LCM(4477,4478) = 20048006 / 1
LCM(4477,4478) = 20048006

Properties of LCM 4477 and 4478

(i) The LCM of 4478 and 4477 is associative

LCM of 4477 and 4478 = LCM of 4478 and 4477

Related Least Common Multiples of 4477

Related Least Common Multiples of 4478

Frequently Asked Questions on LCM of 4477 and 4478

1. What is the LCM of 4477 and 4478?

Answer: LCM of 4477 and 4478 is 20048006.

2. What are the Factors of 4477?

Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.

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 4477 and 4478?

Answer:

Least Common Multiple of 4477 and 4478 = 20048006

Step 1: Find the prime factorization of 4477

4477 = 11 x 11 x 37

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 = 20048006 = 2 x 11 x 11 x 37 x 2239

Step 4: Therefore, the least common multiple of 4477 and 4478 is 20048006.