Least Common Multiple of 4695 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 4695 and 4699 the smallest integer that is 22061805 that is divisible by both numbers.

Least Common Multiple (LCM) of 4695 and 4699 is 22061805.

LCM(4695,4699) = 22061805

LCM of 4695 and 4699

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

LCM of:
and

Least Common Multiple of 4695 and 4699

LCM of 4695 and 4699 is 22061805

Least common multiple can be found by multiplying the highest exponent prime factors of 4695 and 4699. First we will calculate the prime factors of 4695 and 4699.

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 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 4695 and 4699.

LCM(4695,4699) = 31×51×371×1271×3131
LCM(4695,4699) = 22061805

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 4699

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

1, 37, 127, 4699

Least Common Multiple of 4695 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 4695 and 4699, than apply into the LCM equation.

GCF(4695,4699) = 1
LCM(4695,4699) = ( 4695 × 4699) / 1
LCM(4695,4699) = 22061805 / 1
LCM(4695,4699) = 22061805

Properties of LCM 4695 and 4699

(i) The LCM of 4699 and 4695 is associative

LCM of 4695 and 4699 = LCM of 4699 and 4695

Frequently Asked Questions on LCM of 4695 and 4699

1. What is the LCM of 4695 and 4699?

Answer: LCM of 4695 and 4699 is 22061805.

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 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 4695 and 4699?

Answer:

Least Common Multiple of 4695 and 4699 = 22061805

Step 1: Find the prime factorization of 4695

4695 = 3 x 5 x 313

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 = 22061805 = 3 x 5 x 37 x 127 x 313

Step 4: Therefore, the least common multiple of 4695 and 4699 is 22061805.