Least Common Multiple of 4692 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 4692 and 4699 the smallest integer that is 22047708 that is divisible by both numbers.

Least Common Multiple (LCM) of 4692 and 4699 is 22047708.

LCM(4692,4699) = 22047708

LCM of 4692 and 4699

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

LCM of:
and

Least Common Multiple of 4692 and 4699

LCM of 4692 and 4699 is 22047708

Least common multiple can be found by multiplying the highest exponent prime factors of 4692 and 4699. First we will calculate the prime factors of 4692 and 4699.

Prime Factorization of 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2, 3, 17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

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 4692 and 4699.

LCM(4692,4699) = 22×31×171×231×371×1271
LCM(4692,4699) = 22047708

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692

Factors of 4699

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

1, 37, 127, 4699

Least Common Multiple of 4692 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 4692 and 4699, than apply into the LCM equation.

GCF(4692,4699) = 1
LCM(4692,4699) = ( 4692 × 4699) / 1
LCM(4692,4699) = 22047708 / 1
LCM(4692,4699) = 22047708

Properties of LCM 4692 and 4699

(i) The LCM of 4699 and 4692 is associative

LCM of 4692 and 4699 = LCM of 4699 and 4692

Related Least Common Multiples of 4692

Related Least Common Multiples of 4699

Frequently Asked Questions on LCM of 4692 and 4699

1. What is the LCM of 4692 and 4699?

Answer: LCM of 4692 and 4699 is 22047708.

2. What are the Factors of 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

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 4692 and 4699?

Answer:

Least Common Multiple of 4692 and 4699 = 22047708

Step 1: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

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 = 22047708 = 2 x 2 x 3 x 17 x 23 x 37 x 127

Step 4: Therefore, the least common multiple of 4692 and 4699 is 22047708.