Least Common Multiple of 4461 and 4465

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 4465 the smallest integer that is 19918365 that is divisible by both numbers.

Least Common Multiple (LCM) of 4461 and 4465 is 19918365.

LCM(4461,4465) = 19918365

LCM of 4461 and 4465

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

LCM of:
and

Least Common Multiple of 4461 and 4465

LCM of 4461 and 4465 is 19918365

Least common multiple can be found by multiplying the highest exponent prime factors of 4461 and 4465. First we will calculate the prime factors of 4461 and 4465.

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 4465


5 4465
19 893
47 47
1

Prime factors of 4465 are 5, 19,47. Prime factorization of 4465 in exponential form is:

4465 = 51×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4461 and 4465.

LCM(4461,4465) = 31×51×191×471×14871
LCM(4461,4465) = 19918365

Factors of 4461

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

1, 3, 1487, 4461

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1, 5, 19, 47, 95, 235, 893, 4465

Least Common Multiple of 4461 and 4465 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 4465, than apply into the LCM equation.

GCF(4461,4465) = 1
LCM(4461,4465) = ( 4461 × 4465) / 1
LCM(4461,4465) = 19918365 / 1
LCM(4461,4465) = 19918365

Properties of LCM 4461 and 4465

(i) The LCM of 4465 and 4461 is associative

LCM of 4461 and 4465 = LCM of 4465 and 4461

Related Least Common Multiples of 4461

Related Least Common Multiples of 4465

Frequently Asked Questions on LCM of 4461 and 4465

1. What is the LCM of 4461 and 4465?

Answer: LCM of 4461 and 4465 is 19918365.

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 4465?

Answer: Factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465. There are 8 integers that are factors of 4465. The greatest factor of 4465 is 4465.

4. How to Find the LCM of 4461 and 4465?

Answer:

Least Common Multiple of 4461 and 4465 = 19918365

Step 1: Find the prime factorization of 4461

4461 = 3 x 1487

Step 2: Find the prime factorization of 4465

4465 = 5 x 19 x 47

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

LCM = 19918365 = 3 x 5 x 19 x 47 x 1487

Step 4: Therefore, the least common multiple of 4461 and 4465 is 19918365.