Least Common Multiple of 704 and 706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 704 and 706 the smallest integer that is 248512 that is divisible by both numbers.

Least Common Multiple (LCM) of 704 and 706 is 248512.

LCM(704,706) = 248512

LCM of 704 and 706

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

LCM of:
and

Least Common Multiple of 704 and 706

LCM of 704 and 706 is 248512

Least common multiple can be found by multiplying the highest exponent prime factors of 704 and 706. First we will calculate the prime factors of 704 and 706.

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

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 704 and 706.

LCM(704,706) = 26×111×3531
LCM(704,706) = 248512

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

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Least Common Multiple of 704 and 706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 704 and 706, than apply into the LCM equation.

GCF(704,706) = 2
LCM(704,706) = ( 704 × 706) / 2
LCM(704,706) = 497024 / 2
LCM(704,706) = 248512

Properties of LCM 704 and 706

(i) The LCM of 706 and 704 is associative

LCM of 704 and 706 = LCM of 706 and 704

Related Least Common Multiples of 704

Related Least Common Multiples of 706

Frequently Asked Questions on LCM of 704 and 706

1. What is the LCM of 704 and 706?

Answer: LCM of 704 and 706 is 248512.

2. 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.

3. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

4. How to Find the LCM of 704 and 706?

Answer:

Least Common Multiple of 704 and 706 = 248512

Step 1: Find the prime factorization of 704

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

Step 2: Find the prime factorization of 706

706 = 2 x 353

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

LCM = 248512 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 353

Step 4: Therefore, the least common multiple of 704 and 706 is 248512.