Least Common Multiple of 4469 and 4477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4469 and 4477 the smallest integer that is 20007713 that is divisible by both numbers.

Least Common Multiple (LCM) of 4469 and 4477 is 20007713.

LCM(4469,4477) = 20007713

LCM of 4469 and 4477

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

LCM of:
and

Least Common Multiple of 4469 and 4477

LCM of 4469 and 4477 is 20007713

Least common multiple can be found by multiplying the highest exponent prime factors of 4469 and 4477. First we will calculate the prime factors of 4469 and 4477.

Prime Factorization of 4469


41 4469
109 109
1

Prime factors of 4469 are 41,109. Prime factorization of 4469 in exponential form is:

4469 = 411×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4469 and 4477.

LCM(4469,4477) = 112×371×411×1091
LCM(4469,4477) = 20007713

Factors of 4469

List of positive integer factors of 4469 that divides 4469 without a remainder.

1, 41, 109, 4469

Factors of 4477

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

1, 11, 37, 121, 407, 4477

Least Common Multiple of 4469 and 4477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4469 and 4477, than apply into the LCM equation.

GCF(4469,4477) = 1
LCM(4469,4477) = ( 4469 × 4477) / 1
LCM(4469,4477) = 20007713 / 1
LCM(4469,4477) = 20007713

Properties of LCM 4469 and 4477

(i) The LCM of 4477 and 4469 is associative

LCM of 4469 and 4477 = LCM of 4477 and 4469

Related Least Common Multiples of 4469

Related Least Common Multiples of 4477

Frequently Asked Questions on LCM of 4469 and 4477

1. What is the LCM of 4469 and 4477?

Answer: LCM of 4469 and 4477 is 20007713.

2. What are the Factors of 4469?

Answer: Factors of 4469 are 1, 41, 109, 4469. There are 4 integers that are factors of 4469. The greatest factor of 4469 is 4469.

3. 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.

4. How to Find the LCM of 4469 and 4477?

Answer:

Least Common Multiple of 4469 and 4477 = 20007713

Step 1: Find the prime factorization of 4469

4469 = 41 x 109

Step 2: Find the prime factorization of 4477

4477 = 11 x 11 x 37

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

LCM = 20007713 = 11 x 11 x 37 x 41 x 109

Step 4: Therefore, the least common multiple of 4469 and 4477 is 20007713.