Least Common Multiple of 4663 and 4671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4663 and 4671 the smallest integer that is 21780873 that is divisible by both numbers.

Least Common Multiple (LCM) of 4663 and 4671 is 21780873.

LCM(4663,4671) = 21780873

LCM of 4663 and 4671

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

LCM of:
and

Least Common Multiple of 4663 and 4671

LCM of 4663 and 4671 is 21780873

Least common multiple can be found by multiplying the highest exponent prime factors of 4663 and 4671. First we will calculate the prime factors of 4663 and 4671.

Prime Factorization of 4663


4663 4663
1

Prime factors of 4663 are 4663. Prime factorization of 4663 in exponential form is:

4663 = 46631

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4663 and 4671.

LCM(4663,4671) = 33×1731×46631
LCM(4663,4671) = 21780873

Factors of 4663

List of positive integer factors of 4663 that divides 4663 without a remainder.

1, 4663

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1, 3, 9, 27, 173, 519, 1557, 4671

Least Common Multiple of 4663 and 4671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4663 and 4671, than apply into the LCM equation.

GCF(4663,4671) = 1
LCM(4663,4671) = ( 4663 × 4671) / 1
LCM(4663,4671) = 21780873 / 1
LCM(4663,4671) = 21780873

Properties of LCM 4663 and 4671

(i) The LCM of 4671 and 4663 is associative

LCM of 4663 and 4671 = LCM of 4671 and 4663

Related Least Common Multiples of 4663

Related Least Common Multiples of 4671

Frequently Asked Questions on LCM of 4663 and 4671

1. What is the LCM of 4663 and 4671?

Answer: LCM of 4663 and 4671 is 21780873.

2. What are the Factors of 4663?

Answer: Factors of 4663 are 1, 4663. There are 2 integers that are factors of 4663. The greatest factor of 4663 is 4663.

3. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

4. How to Find the LCM of 4663 and 4671?

Answer:

Least Common Multiple of 4663 and 4671 = 21780873

Step 1: Find the prime factorization of 4663

4663 = 4663

Step 2: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

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

LCM = 21780873 = 3 x 3 x 3 x 173 x 4663

Step 4: Therefore, the least common multiple of 4663 and 4671 is 21780873.