Least Common Multiple of 4693 and 4696

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 4696 the smallest integer that is 22038328 that is divisible by both numbers.

Least Common Multiple (LCM) of 4693 and 4696 is 22038328.

LCM(4693,4696) = 22038328

LCM of 4693 and 4696

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

LCM of:
and

Least Common Multiple of 4693 and 4696

LCM of 4693 and 4696 is 22038328

Least common multiple can be found by multiplying the highest exponent prime factors of 4693 and 4696. First we will calculate the prime factors of 4693 and 4696.

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 4696


2 4696
2 2348
2 1174
587 587
1

Prime factors of 4696 are 2,587. Prime factorization of 4696 in exponential form is:

4696 = 23×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 4693 and 4696.

LCM(4693,4696) = 23×131×192×5871
LCM(4693,4696) = 22038328

Factors of 4693

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

1, 13, 19, 247, 361, 4693

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1, 2, 4, 8, 587, 1174, 2348, 4696

Least Common Multiple of 4693 and 4696 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 4696, than apply into the LCM equation.

GCF(4693,4696) = 1
LCM(4693,4696) = ( 4693 × 4696) / 1
LCM(4693,4696) = 22038328 / 1
LCM(4693,4696) = 22038328

Properties of LCM 4693 and 4696

(i) The LCM of 4696 and 4693 is associative

LCM of 4693 and 4696 = LCM of 4696 and 4693

Related Least Common Multiples of 4693

Related Least Common Multiples of 4696

Frequently Asked Questions on LCM of 4693 and 4696

1. What is the LCM of 4693 and 4696?

Answer: LCM of 4693 and 4696 is 22038328.

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 4696?

Answer: Factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696. There are 8 integers that are factors of 4696. The greatest factor of 4696 is 4696.

4. How to Find the LCM of 4693 and 4696?

Answer:

Least Common Multiple of 4693 and 4696 = 22038328

Step 1: Find the prime factorization of 4693

4693 = 13 x 19 x 19

Step 2: Find the prime factorization of 4696

4696 = 2 x 2 x 2 x 587

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

LCM = 22038328 = 2 x 2 x 2 x 13 x 19 x 19 x 587

Step 4: Therefore, the least common multiple of 4693 and 4696 is 22038328.