Least Common Multiple of 4688 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 4688 and 4693 the smallest integer that is 22000784 that is divisible by both numbers.

Least Common Multiple (LCM) of 4688 and 4693 is 22000784.

LCM(4688,4693) = 22000784

LCM of 4688 and 4693

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

LCM of:
and

Least Common Multiple of 4688 and 4693

LCM of 4688 and 4693 is 22000784

Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4693. First we will calculate the prime factors of 4688 and 4693.

Prime Factorization of 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

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 4688 and 4693.

LCM(4688,4693) = 24×131×192×2931
LCM(4688,4693) = 22000784

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688

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 4688 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 4688 and 4693, than apply into the LCM equation.

GCF(4688,4693) = 1
LCM(4688,4693) = ( 4688 × 4693) / 1
LCM(4688,4693) = 22000784 / 1
LCM(4688,4693) = 22000784

Properties of LCM 4688 and 4693

(i) The LCM of 4693 and 4688 is associative

LCM of 4688 and 4693 = LCM of 4693 and 4688

Related Least Common Multiples of 4688

Related Least Common Multiples of 4693

Frequently Asked Questions on LCM of 4688 and 4693

1. What is the LCM of 4688 and 4693?

Answer: LCM of 4688 and 4693 is 22000784.

2. What are the Factors of 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

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 4688 and 4693?

Answer:

Least Common Multiple of 4688 and 4693 = 22000784

Step 1: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

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 = 22000784 = 2 x 2 x 2 x 2 x 13 x 19 x 19 x 293

Step 4: Therefore, the least common multiple of 4688 and 4693 is 22000784.