Least Common Multiple of 701 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 701 and 704 the smallest integer that is 493504 that is divisible by both numbers.

Least Common Multiple (LCM) of 701 and 704 is 493504.

LCM(701,704) = 493504

LCM of 701 and 704

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

LCM of:
and

Least Common Multiple of 701 and 704

LCM of 701 and 704 is 493504

Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 704. First we will calculate the prime factors of 701 and 704.

Prime Factorization of 701


701 701
1

Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:

701 = 7011

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 701 and 704.

LCM(701,704) = 26×111×7011
LCM(701,704) = 493504

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1, 701

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 701 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 701 and 704, than apply into the LCM equation.

GCF(701,704) = 1
LCM(701,704) = ( 701 × 704) / 1
LCM(701,704) = 493504 / 1
LCM(701,704) = 493504

Properties of LCM 701 and 704

(i) The LCM of 704 and 701 is associative

LCM of 701 and 704 = LCM of 704 and 701

Related Least Common Multiples of 701

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 701 and 704

1. What is the LCM of 701 and 704?

Answer: LCM of 701 and 704 is 493504.

2. What are the Factors of 701?

Answer: Factors of 701 are 1, 701. There are 2 integers that are factors of 701. The greatest factor of 701 is 701.

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 701 and 704?

Answer:

Least Common Multiple of 701 and 704 = 493504

Step 1: Find the prime factorization of 701

701 = 701

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 = 493504 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 701

Step 4: Therefore, the least common multiple of 701 and 704 is 493504.