Least Common Multiple of 4691 and 4699

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 4699 the smallest integer that is 22043009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4691 and 4699 is 22043009.

LCM(4691,4699) = 22043009

LCM of 4691 and 4699

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

LCM of:
and

Least Common Multiple of 4691 and 4699

LCM of 4691 and 4699 is 22043009

Least common multiple can be found by multiplying the highest exponent prime factors of 4691 and 4699. First we will calculate the prime factors of 4691 and 4699.

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 4699


37 4699
127 127
1

Prime factors of 4699 are 37,127. Prime factorization of 4699 in exponential form is:

4699 = 371×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4691 and 4699.

LCM(4691,4699) = 371×1271×46911
LCM(4691,4699) = 22043009

Factors of 4691

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

1, 4691

Factors of 4699

List of positive integer factors of 4699 that divides 4699 without a remainder.

1, 37, 127, 4699

Least Common Multiple of 4691 and 4699 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 4699, than apply into the LCM equation.

GCF(4691,4699) = 1
LCM(4691,4699) = ( 4691 × 4699) / 1
LCM(4691,4699) = 22043009 / 1
LCM(4691,4699) = 22043009

Properties of LCM 4691 and 4699

(i) The LCM of 4699 and 4691 is associative

LCM of 4691 and 4699 = LCM of 4699 and 4691

Related Least Common Multiples of 4691

Related Least Common Multiples of 4699

Frequently Asked Questions on LCM of 4691 and 4699

1. What is the LCM of 4691 and 4699?

Answer: LCM of 4691 and 4699 is 22043009.

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 4699?

Answer: Factors of 4699 are 1, 37, 127, 4699. There are 4 integers that are factors of 4699. The greatest factor of 4699 is 4699.

4. How to Find the LCM of 4691 and 4699?

Answer:

Least Common Multiple of 4691 and 4699 = 22043009

Step 1: Find the prime factorization of 4691

4691 = 4691

Step 2: Find the prime factorization of 4699

4699 = 37 x 127

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

LCM = 22043009 = 37 x 127 x 4691

Step 4: Therefore, the least common multiple of 4691 and 4699 is 22043009.