Least Common Multiple of 4668 and 4673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4668 and 4673 the smallest integer that is 21813564 that is divisible by both numbers.

Least Common Multiple (LCM) of 4668 and 4673 is 21813564.

LCM(4668,4673) = 21813564

LCM of 4668 and 4673

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

LCM of:
and

Least Common Multiple of 4668 and 4673

LCM of 4668 and 4673 is 21813564

Least common multiple can be found by multiplying the highest exponent prime factors of 4668 and 4673. First we will calculate the prime factors of 4668 and 4673.

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

Prime Factorization of 4673


4673 4673
1

Prime factors of 4673 are 4673. Prime factorization of 4673 in exponential form is:

4673 = 46731

Now multiplying the highest exponent prime factors to calculate the LCM of 4668 and 4673.

LCM(4668,4673) = 22×31×3891×46731
LCM(4668,4673) = 21813564

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

Factors of 4673

List of positive integer factors of 4673 that divides 4673 without a remainder.

1, 4673

Least Common Multiple of 4668 and 4673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4668 and 4673, than apply into the LCM equation.

GCF(4668,4673) = 1
LCM(4668,4673) = ( 4668 × 4673) / 1
LCM(4668,4673) = 21813564 / 1
LCM(4668,4673) = 21813564

Properties of LCM 4668 and 4673

(i) The LCM of 4673 and 4668 is associative

LCM of 4668 and 4673 = LCM of 4673 and 4668

Related Least Common Multiples of 4668

Related Least Common Multiples of 4673

Frequently Asked Questions on LCM of 4668 and 4673

1. What is the LCM of 4668 and 4673?

Answer: LCM of 4668 and 4673 is 21813564.

2. 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.

3. What are the Factors of 4673?

Answer: Factors of 4673 are 1, 4673. There are 2 integers that are factors of 4673. The greatest factor of 4673 is 4673.

4. How to Find the LCM of 4668 and 4673?

Answer:

Least Common Multiple of 4668 and 4673 = 21813564

Step 1: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

Step 2: Find the prime factorization of 4673

4673 = 4673

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

LCM = 21813564 = 2 x 2 x 3 x 389 x 4673

Step 4: Therefore, the least common multiple of 4668 and 4673 is 21813564.