Least Common Multiple of 704 and 705

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 705 the smallest integer that is 496320 that is divisible by both numbers.

Least Common Multiple (LCM) of 704 and 705 is 496320.

LCM(704,705) = 496320

LCM of 704 and 705

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

LCM of:
and

Least Common Multiple of 704 and 705

LCM of 704 and 705 is 496320

Least common multiple can be found by multiplying the highest exponent prime factors of 704 and 705. First we will calculate the prime factors of 704 and 705.

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 705


3 705
5 235
47 47
1

Prime factors of 705 are 3, 5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 704 and 705.

LCM(704,705) = 26×31×51×111×471
LCM(704,705) = 496320

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 705

List of positive integer factors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Least Common Multiple of 704 and 705 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 705, than apply into the LCM equation.

GCF(704,705) = 1
LCM(704,705) = ( 704 × 705) / 1
LCM(704,705) = 496320 / 1
LCM(704,705) = 496320

Properties of LCM 704 and 705

(i) The LCM of 705 and 704 is associative

LCM of 704 and 705 = LCM of 705 and 704

Related Least Common Multiples of 704

Related Least Common Multiples of 705

Frequently Asked Questions on LCM of 704 and 705

1. What is the LCM of 704 and 705?

Answer: LCM of 704 and 705 is 496320.

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 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

4. How to Find the LCM of 704 and 705?

Answer:

Least Common Multiple of 704 and 705 = 496320

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 705

705 = 3 x 5 x 47

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

LCM = 496320 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 47

Step 4: Therefore, the least common multiple of 704 and 705 is 496320.