Least Common Multiple of 4686 and 4693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4686 and 4693 the smallest integer that is 21991398 that is divisible by both numbers.

Least Common Multiple (LCM) of 4686 and 4693 is 21991398.

LCM(4686,4693) = 21991398

LCM of 4686 and 4693

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

LCM of:
and

Least Common Multiple of 4686 and 4693

LCM of 4686 and 4693 is 21991398

Least common multiple can be found by multiplying the highest exponent prime factors of 4686 and 4693. First we will calculate the prime factors of 4686 and 4693.

Prime Factorization of 4686


2 4686
3 2343
11 781
71 71
1

Prime factors of 4686 are 2, 3, 11,71. Prime factorization of 4686 in exponential form is:

4686 = 21×31×111×711

Prime Factorization of 4693


13 4693
19 361
19 19
1

Prime factors of 4693 are 13,19. Prime factorization of 4693 in exponential form is:

4693 = 131×192

Now multiplying the highest exponent prime factors to calculate the LCM of 4686 and 4693.

LCM(4686,4693) = 21×31×111×131×192×711
LCM(4686,4693) = 21991398

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686

Factors of 4693

List of positive integer factors of 4693 that divides 4693 without a remainder.

1, 13, 19, 247, 361, 4693

Least Common Multiple of 4686 and 4693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4686 and 4693, than apply into the LCM equation.

GCF(4686,4693) = 1
LCM(4686,4693) = ( 4686 × 4693) / 1
LCM(4686,4693) = 21991398 / 1
LCM(4686,4693) = 21991398

Properties of LCM 4686 and 4693

(i) The LCM of 4693 and 4686 is associative

LCM of 4686 and 4693 = LCM of 4693 and 4686

Related Least Common Multiples of 4686

Related Least Common Multiples of 4693

Frequently Asked Questions on LCM of 4686 and 4693

1. What is the LCM of 4686 and 4693?

Answer: LCM of 4686 and 4693 is 21991398.

2. What are the Factors of 4686?

Answer: Factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686. There are 16 integers that are factors of 4686. The greatest factor of 4686 is 4686.

3. What are the Factors of 4693?

Answer: Factors of 4693 are 1, 13, 19, 247, 361, 4693. There are 6 integers that are factors of 4693. The greatest factor of 4693 is 4693.

4. How to Find the LCM of 4686 and 4693?

Answer:

Least Common Multiple of 4686 and 4693 = 21991398

Step 1: Find the prime factorization of 4686

4686 = 2 x 3 x 11 x 71

Step 2: Find the prime factorization of 4693

4693 = 13 x 19 x 19

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

LCM = 21991398 = 2 x 3 x 11 x 13 x 19 x 19 x 71

Step 4: Therefore, the least common multiple of 4686 and 4693 is 21991398.