Least Common Multiple of 4461 and 4468

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 4468 the smallest integer that is 19931748 that is divisible by both numbers.

Least Common Multiple (LCM) of 4461 and 4468 is 19931748.

LCM(4461,4468) = 19931748

LCM of 4461 and 4468

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

LCM of:
and

Least Common Multiple of 4461 and 4468

LCM of 4461 and 4468 is 19931748

Least common multiple can be found by multiplying the highest exponent prime factors of 4461 and 4468. First we will calculate the prime factors of 4461 and 4468.

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 4468


2 4468
2 2234
1117 1117
1

Prime factors of 4468 are 2,1117. Prime factorization of 4468 in exponential form is:

4468 = 22×11171

Now multiplying the highest exponent prime factors to calculate the LCM of 4461 and 4468.

LCM(4461,4468) = 22×31×11171×14871
LCM(4461,4468) = 19931748

Factors of 4461

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

1, 3, 1487, 4461

Factors of 4468

List of positive integer factors of 4468 that divides 4468 without a remainder.

1, 2, 4, 1117, 2234, 4468

Least Common Multiple of 4461 and 4468 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 4468, than apply into the LCM equation.

GCF(4461,4468) = 1
LCM(4461,4468) = ( 4461 × 4468) / 1
LCM(4461,4468) = 19931748 / 1
LCM(4461,4468) = 19931748

Properties of LCM 4461 and 4468

(i) The LCM of 4468 and 4461 is associative

LCM of 4461 and 4468 = LCM of 4468 and 4461

Related Least Common Multiples of 4461

Related Least Common Multiples of 4468

Frequently Asked Questions on LCM of 4461 and 4468

1. What is the LCM of 4461 and 4468?

Answer: LCM of 4461 and 4468 is 19931748.

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 4468?

Answer: Factors of 4468 are 1, 2, 4, 1117, 2234, 4468. There are 6 integers that are factors of 4468. The greatest factor of 4468 is 4468.

4. How to Find the LCM of 4461 and 4468?

Answer:

Least Common Multiple of 4461 and 4468 = 19931748

Step 1: Find the prime factorization of 4461

4461 = 3 x 1487

Step 2: Find the prime factorization of 4468

4468 = 2 x 2 x 1117

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

LCM = 19931748 = 2 x 2 x 3 x 1117 x 1487

Step 4: Therefore, the least common multiple of 4461 and 4468 is 19931748.