Least Common Multiple of 4461 and 4469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4461 and 4469 the smallest integer that is 19936209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4461 and 4469 is 19936209.

LCM(4461,4469) = 19936209

LCM of 4461 and 4469

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

LCM of:
and

Least Common Multiple of 4461 and 4469

LCM of 4461 and 4469 is 19936209

Least common multiple can be found by multiplying the highest exponent prime factors of 4461 and 4469. First we will calculate the prime factors of 4461 and 4469.

Prime Factorization of 4461


3 4461
1487 1487
1

Prime factors of 4461 are 3,1487. Prime factorization of 4461 in exponential form is:

4461 = 31×14871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4461 and 4469.

LCM(4461,4469) = 31×411×1091×14871
LCM(4461,4469) = 19936209

Factors of 4461

List of positive integer factors of 4461 that divides 4461 without a remainder.

1, 3, 1487, 4461

Factors of 4469

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

1, 41, 109, 4469

Least Common Multiple of 4461 and 4469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4461 and 4469, than apply into the LCM equation.

GCF(4461,4469) = 1
LCM(4461,4469) = ( 4461 × 4469) / 1
LCM(4461,4469) = 19936209 / 1
LCM(4461,4469) = 19936209

Properties of LCM 4461 and 4469

(i) The LCM of 4469 and 4461 is associative

LCM of 4461 and 4469 = LCM of 4469 and 4461

Related Least Common Multiples of 4461

Related Least Common Multiples of 4469

Frequently Asked Questions on LCM of 4461 and 4469

1. What is the LCM of 4461 and 4469?

Answer: LCM of 4461 and 4469 is 19936209.

2. What are the Factors of 4461?

Answer: Factors of 4461 are 1, 3, 1487, 4461. There are 4 integers that are factors of 4461. The greatest factor of 4461 is 4461.

3. 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.

4. How to Find the LCM of 4461 and 4469?

Answer:

Least Common Multiple of 4461 and 4469 = 19936209

Step 1: Find the prime factorization of 4461

4461 = 3 x 1487

Step 2: Find the prime factorization of 4469

4469 = 41 x 109

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

LCM = 19936209 = 3 x 41 x 109 x 1487

Step 4: Therefore, the least common multiple of 4461 and 4469 is 19936209.