Least Common Multiple of 4691 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 4691 and 4696 the smallest integer that is 22028936 that is divisible by both numbers.

Least Common Multiple (LCM) of 4691 and 4696 is 22028936.

LCM(4691,4696) = 22028936

LCM of 4691 and 4696

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

LCM of:
and

Least Common Multiple of 4691 and 4696

LCM of 4691 and 4696 is 22028936

Least common multiple can be found by multiplying the highest exponent prime factors of 4691 and 4696. First we will calculate the prime factors of 4691 and 4696.

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 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 4691 and 4696.

LCM(4691,4696) = 23×5871×46911
LCM(4691,4696) = 22028936

Factors of 4691

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

1, 4691

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 4691 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 4691 and 4696, than apply into the LCM equation.

GCF(4691,4696) = 1
LCM(4691,4696) = ( 4691 × 4696) / 1
LCM(4691,4696) = 22028936 / 1
LCM(4691,4696) = 22028936

Properties of LCM 4691 and 4696

(i) The LCM of 4696 and 4691 is associative

LCM of 4691 and 4696 = LCM of 4696 and 4691

Related Least Common Multiples of 4691

Related Least Common Multiples of 4696

Frequently Asked Questions on LCM of 4691 and 4696

1. What is the LCM of 4691 and 4696?

Answer: LCM of 4691 and 4696 is 22028936.

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 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 4691 and 4696?

Answer:

Least Common Multiple of 4691 and 4696 = 22028936

Step 1: Find the prime factorization of 4691

4691 = 4691

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 = 22028936 = 2 x 2 x 2 x 587 x 4691

Step 4: Therefore, the least common multiple of 4691 and 4696 is 22028936.