Least Common Multiple of 4469 and 4473

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 4473 the smallest integer that is 19989837 that is divisible by both numbers.

Least Common Multiple (LCM) of 4469 and 4473 is 19989837.

LCM(4469,4473) = 19989837

LCM of 4469 and 4473

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

LCM of:
and

Least Common Multiple of 4469 and 4473

LCM of 4469 and 4473 is 19989837

Least common multiple can be found by multiplying the highest exponent prime factors of 4469 and 4473. First we will calculate the prime factors of 4469 and 4473.

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 4473


3 4473
3 1491
7 497
71 71
1

Prime factors of 4473 are 3, 7,71. Prime factorization of 4473 in exponential form is:

4473 = 32×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4469 and 4473.

LCM(4469,4473) = 32×71×411×711×1091
LCM(4469,4473) = 19989837

Factors of 4469

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

1, 41, 109, 4469

Factors of 4473

List of positive integer factors of 4473 that divides 4473 without a remainder.

1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473

Least Common Multiple of 4469 and 4473 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 4473, than apply into the LCM equation.

GCF(4469,4473) = 1
LCM(4469,4473) = ( 4469 × 4473) / 1
LCM(4469,4473) = 19989837 / 1
LCM(4469,4473) = 19989837

Properties of LCM 4469 and 4473

(i) The LCM of 4473 and 4469 is associative

LCM of 4469 and 4473 = LCM of 4473 and 4469

Related Least Common Multiples of 4469

Related Least Common Multiples of 4473

Frequently Asked Questions on LCM of 4469 and 4473

1. What is the LCM of 4469 and 4473?

Answer: LCM of 4469 and 4473 is 19989837.

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 4473?

Answer: Factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473. There are 12 integers that are factors of 4473. The greatest factor of 4473 is 4473.

4. How to Find the LCM of 4469 and 4473?

Answer:

Least Common Multiple of 4469 and 4473 = 19989837

Step 1: Find the prime factorization of 4469

4469 = 41 x 109

Step 2: Find the prime factorization of 4473

4473 = 3 x 3 x 7 x 71

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

LCM = 19989837 = 3 x 3 x 7 x 41 x 71 x 109

Step 4: Therefore, the least common multiple of 4469 and 4473 is 19989837.