Least Common Multiple of 4663 and 4668

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 4668 the smallest integer that is 21766884 that is divisible by both numbers.

Least Common Multiple (LCM) of 4663 and 4668 is 21766884.

LCM(4663,4668) = 21766884

LCM of 4663 and 4668

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

LCM of:
and

Least Common Multiple of 4663 and 4668

LCM of 4663 and 4668 is 21766884

Least common multiple can be found by multiplying the highest exponent prime factors of 4663 and 4668. First we will calculate the prime factors of 4663 and 4668.

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 4668


2 4668
2 2334
3 1167
389 389
1

Prime factors of 4668 are 2, 3,389. Prime factorization of 4668 in exponential form is:

4668 = 22×31×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 4663 and 4668.

LCM(4663,4668) = 22×31×3891×46631
LCM(4663,4668) = 21766884

Factors of 4663

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

1, 4663

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668

Least Common Multiple of 4663 and 4668 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 4668, than apply into the LCM equation.

GCF(4663,4668) = 1
LCM(4663,4668) = ( 4663 × 4668) / 1
LCM(4663,4668) = 21766884 / 1
LCM(4663,4668) = 21766884

Properties of LCM 4663 and 4668

(i) The LCM of 4668 and 4663 is associative

LCM of 4663 and 4668 = LCM of 4668 and 4663

Related Least Common Multiples of 4663

Related Least Common Multiples of 4668

Frequently Asked Questions on LCM of 4663 and 4668

1. What is the LCM of 4663 and 4668?

Answer: LCM of 4663 and 4668 is 21766884.

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 4668?

Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.

4. How to Find the LCM of 4663 and 4668?

Answer:

Least Common Multiple of 4663 and 4668 = 21766884

Step 1: Find the prime factorization of 4663

4663 = 4663

Step 2: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

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

LCM = 21766884 = 2 x 2 x 3 x 389 x 4663

Step 4: Therefore, the least common multiple of 4663 and 4668 is 21766884.