Least Common Multiple of 4691 and 4697

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 4697 the smallest integer that is 22033627 that is divisible by both numbers.

Least Common Multiple (LCM) of 4691 and 4697 is 22033627.

LCM(4691,4697) = 22033627

LCM of 4691 and 4697

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

LCM of:
and

Least Common Multiple of 4691 and 4697

LCM of 4691 and 4697 is 22033627

Least common multiple can be found by multiplying the highest exponent prime factors of 4691 and 4697. First we will calculate the prime factors of 4691 and 4697.

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 4697


7 4697
11 671
61 61
1

Prime factors of 4697 are 7, 11,61. Prime factorization of 4697 in exponential form is:

4697 = 71×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4691 and 4697.

LCM(4691,4697) = 71×111×611×46911
LCM(4691,4697) = 22033627

Factors of 4691

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

1, 4691

Factors of 4697

List of positive integer factors of 4697 that divides 4697 without a remainder.

1, 7, 11, 61, 77, 427, 671, 4697

Least Common Multiple of 4691 and 4697 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 4697, than apply into the LCM equation.

GCF(4691,4697) = 1
LCM(4691,4697) = ( 4691 × 4697) / 1
LCM(4691,4697) = 22033627 / 1
LCM(4691,4697) = 22033627

Properties of LCM 4691 and 4697

(i) The LCM of 4697 and 4691 is associative

LCM of 4691 and 4697 = LCM of 4697 and 4691

Related Least Common Multiples of 4691

Related Least Common Multiples of 4697

Frequently Asked Questions on LCM of 4691 and 4697

1. What is the LCM of 4691 and 4697?

Answer: LCM of 4691 and 4697 is 22033627.

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 4697?

Answer: Factors of 4697 are 1, 7, 11, 61, 77, 427, 671, 4697. There are 8 integers that are factors of 4697. The greatest factor of 4697 is 4697.

4. How to Find the LCM of 4691 and 4697?

Answer:

Least Common Multiple of 4691 and 4697 = 22033627

Step 1: Find the prime factorization of 4691

4691 = 4691

Step 2: Find the prime factorization of 4697

4697 = 7 x 11 x 61

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

LCM = 22033627 = 7 x 11 x 61 x 4691

Step 4: Therefore, the least common multiple of 4691 and 4697 is 22033627.