Least Common Multiple of 4695 and 4701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4695 and 4701 the smallest integer that is 7357065 that is divisible by both numbers.

Least Common Multiple (LCM) of 4695 and 4701 is 7357065.

LCM(4695,4701) = 7357065

LCM of 4695 and 4701

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

LCM of:
and

Least Common Multiple of 4695 and 4701

LCM of 4695 and 4701 is 7357065

Least common multiple can be found by multiplying the highest exponent prime factors of 4695 and 4701. First we will calculate the prime factors of 4695 and 4701.

Prime Factorization of 4695


3 4695
5 1565
313 313
1

Prime factors of 4695 are 3, 5,313. Prime factorization of 4695 in exponential form is:

4695 = 31×51×3131

Prime Factorization of 4701


3 4701
1567 1567
1

Prime factors of 4701 are 3,1567. Prime factorization of 4701 in exponential form is:

4701 = 31×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 4695 and 4701.

LCM(4695,4701) = 31×51×3131×15671
LCM(4695,4701) = 7357065

Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1, 3, 5, 15, 313, 939, 1565, 4695

Factors of 4701

List of positive integer factors of 4701 that divides 4701 without a remainder.

1, 3, 1567, 4701

Least Common Multiple of 4695 and 4701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4695 and 4701, than apply into the LCM equation.

GCF(4695,4701) = 3
LCM(4695,4701) = ( 4695 × 4701) / 3
LCM(4695,4701) = 22071195 / 3
LCM(4695,4701) = 7357065

Properties of LCM 4695 and 4701

(i) The LCM of 4701 and 4695 is associative

LCM of 4695 and 4701 = LCM of 4701 and 4695

Related Least Common Multiples of 4695

Related Least Common Multiples of 4701

Frequently Asked Questions on LCM of 4695 and 4701

1. What is the LCM of 4695 and 4701?

Answer: LCM of 4695 and 4701 is 7357065.

2. What are the Factors of 4695?

Answer: Factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695. There are 8 integers that are factors of 4695. The greatest factor of 4695 is 4695.

3. What are the Factors of 4701?

Answer: Factors of 4701 are 1, 3, 1567, 4701. There are 4 integers that are factors of 4701. The greatest factor of 4701 is 4701.

4. How to Find the LCM of 4695 and 4701?

Answer:

Least Common Multiple of 4695 and 4701 = 7357065

Step 1: Find the prime factorization of 4695

4695 = 3 x 5 x 313

Step 2: Find the prime factorization of 4701

4701 = 3 x 1567

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

LCM = 7357065 = 3 x 5 x 313 x 1567

Step 4: Therefore, the least common multiple of 4695 and 4701 is 7357065.