Least Common Multiple of 4691 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 4691 and 4693 the smallest integer that is 22014863 that is divisible by both numbers.

Least Common Multiple (LCM) of 4691 and 4693 is 22014863.

LCM(4691,4693) = 22014863

LCM of 4691 and 4693

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

LCM of:
and

Least Common Multiple of 4691 and 4693

LCM of 4691 and 4693 is 22014863

Least common multiple can be found by multiplying the highest exponent prime factors of 4691 and 4693. First we will calculate the prime factors of 4691 and 4693.

Prime Factorization of 4691


4691 4691
1

Prime factors of 4691 are 4691. Prime factorization of 4691 in exponential form is:

4691 = 46911

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 4691 and 4693.

LCM(4691,4693) = 131×192×46911
LCM(4691,4693) = 22014863

Factors of 4691

List of positive integer factors of 4691 that divides 4691 without a remainder.

1, 4691

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 4691 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 4691 and 4693, than apply into the LCM equation.

GCF(4691,4693) = 1
LCM(4691,4693) = ( 4691 × 4693) / 1
LCM(4691,4693) = 22014863 / 1
LCM(4691,4693) = 22014863

Properties of LCM 4691 and 4693

(i) The LCM of 4693 and 4691 is associative

LCM of 4691 and 4693 = LCM of 4693 and 4691

Related Least Common Multiples of 4691

Related Least Common Multiples of 4693

Frequently Asked Questions on LCM of 4691 and 4693

1. What is the LCM of 4691 and 4693?

Answer: LCM of 4691 and 4693 is 22014863.

2. What are the Factors of 4691?

Answer: Factors of 4691 are 1, 4691. There are 2 integers that are factors of 4691. The greatest factor of 4691 is 4691.

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 4691 and 4693?

Answer:

Least Common Multiple of 4691 and 4693 = 22014863

Step 1: Find the prime factorization of 4691

4691 = 4691

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 = 22014863 = 13 x 19 x 19 x 4691

Step 4: Therefore, the least common multiple of 4691 and 4693 is 22014863.