Least Common Multiple of 703 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 703 and 704 the smallest integer that is 494912 that is divisible by both numbers.

Least Common Multiple (LCM) of 703 and 704 is 494912.

LCM(703,704) = 494912

LCM of 703 and 704

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

LCM of:
and

Least Common Multiple of 703 and 704

LCM of 703 and 704 is 494912

Least common multiple can be found by multiplying the highest exponent prime factors of 703 and 704. First we will calculate the prime factors of 703 and 704.

Prime Factorization of 703


19 703
37 37
1

Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:

703 = 191×371

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 703 and 704.

LCM(703,704) = 26×111×191×371
LCM(703,704) = 494912

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 703 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 703 and 704, than apply into the LCM equation.

GCF(703,704) = 1
LCM(703,704) = ( 703 × 704) / 1
LCM(703,704) = 494912 / 1
LCM(703,704) = 494912

Properties of LCM 703 and 704

(i) The LCM of 704 and 703 is associative

LCM of 703 and 704 = LCM of 704 and 703

Related Least Common Multiples of 703

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 703 and 704

1. What is the LCM of 703 and 704?

Answer: LCM of 703 and 704 is 494912.

2. What are the Factors of 703?

Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.

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 703 and 704?

Answer:

Least Common Multiple of 703 and 704 = 494912

Step 1: Find the prime factorization of 703

703 = 19 x 37

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 = 494912 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 19 x 37

Step 4: Therefore, the least common multiple of 703 and 704 is 494912.