Least Common Multiple of 699 and 704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 699 and 704 the smallest integer that is 492096 that is divisible by both numbers.

Least Common Multiple (LCM) of 699 and 704 is 492096.

LCM(699,704) = 492096

LCM of 699 and 704

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

LCM of:
and

Least Common Multiple of 699 and 704

LCM of 699 and 704 is 492096

Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 704. First we will calculate the prime factors of 699 and 704.

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

Prime Factorization of 704


2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 704 are 2,11. Prime factorization of 704 in exponential form is:

704 = 26×111

Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 704.

LCM(699,704) = 26×31×111×2331
LCM(699,704) = 492096

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Least Common Multiple of 699 and 704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 699 and 704, than apply into the LCM equation.

GCF(699,704) = 1
LCM(699,704) = ( 699 × 704) / 1
LCM(699,704) = 492096 / 1
LCM(699,704) = 492096

Properties of LCM 699 and 704

(i) The LCM of 704 and 699 is associative

LCM of 699 and 704 = LCM of 704 and 699

Related Least Common Multiples of 699

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 699 and 704

1. What is the LCM of 699 and 704?

Answer: LCM of 699 and 704 is 492096.

2. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

3. What are the Factors of 704?

Answer: Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 integers that are factors of 704. The greatest factor of 704 is 704.

4. How to Find the LCM of 699 and 704?

Answer:

Least Common Multiple of 699 and 704 = 492096

Step 1: Find the prime factorization of 699

699 = 3 x 233

Step 2: Find the prime factorization of 704

704 = 2 x 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 492096 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 233

Step 4: Therefore, the least common multiple of 699 and 704 is 492096.