Least Common Multiple of 4693 and 4700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4693 and 4700 the smallest integer that is 22057100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4693 and 4700 is 22057100.

LCM(4693,4700) = 22057100

LCM of 4693 and 4700

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

LCM of:
and

Least Common Multiple of 4693 and 4700

LCM of 4693 and 4700 is 22057100

Least common multiple can be found by multiplying the highest exponent prime factors of 4693 and 4700. First we will calculate the prime factors of 4693 and 4700.

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

Prime Factorization of 4700


2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 4700 are 2, 5,47. Prime factorization of 4700 in exponential form is:

4700 = 22×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4693 and 4700.

LCM(4693,4700) = 22×52×131×192×471
LCM(4693,4700) = 22057100

Factors of 4693

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

1, 13, 19, 247, 361, 4693

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700

Least Common Multiple of 4693 and 4700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4693 and 4700, than apply into the LCM equation.

GCF(4693,4700) = 1
LCM(4693,4700) = ( 4693 × 4700) / 1
LCM(4693,4700) = 22057100 / 1
LCM(4693,4700) = 22057100

Properties of LCM 4693 and 4700

(i) The LCM of 4700 and 4693 is associative

LCM of 4693 and 4700 = LCM of 4700 and 4693

Related Least Common Multiples of 4693

Related Least Common Multiples of 4700

Frequently Asked Questions on LCM of 4693 and 4700

1. What is the LCM of 4693 and 4700?

Answer: LCM of 4693 and 4700 is 22057100.

2. 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.

3. What are the Factors of 4700?

Answer: Factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700. There are 18 integers that are factors of 4700. The greatest factor of 4700 is 4700.

4. How to Find the LCM of 4693 and 4700?

Answer:

Least Common Multiple of 4693 and 4700 = 22057100

Step 1: Find the prime factorization of 4693

4693 = 13 x 19 x 19

Step 2: Find the prime factorization of 4700

4700 = 2 x 2 x 5 x 5 x 47

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

LCM = 22057100 = 2 x 2 x 5 x 5 x 13 x 19 x 19 x 47

Step 4: Therefore, the least common multiple of 4693 and 4700 is 22057100.