Least Common Multiple of 701 and 703

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 703 the smallest integer that is 492803 that is divisible by both numbers.

Least Common Multiple (LCM) of 701 and 703 is 492803.

LCM(701,703) = 492803

LCM of 701 and 703

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

LCM of:
and

Least Common Multiple of 701 and 703

LCM of 701 and 703 is 492803

Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 703. First we will calculate the prime factors of 701 and 703.

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 703


19 703
37 37
1

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

703 = 191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 701 and 703.

LCM(701,703) = 191×371×7011
LCM(701,703) = 492803

Factors of 701

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

1, 701

Factors of 703

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

1, 19, 37, 703

Least Common Multiple of 701 and 703 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 703, than apply into the LCM equation.

GCF(701,703) = 1
LCM(701,703) = ( 701 × 703) / 1
LCM(701,703) = 492803 / 1
LCM(701,703) = 492803

Properties of LCM 701 and 703

(i) The LCM of 703 and 701 is associative

LCM of 701 and 703 = LCM of 703 and 701

Related Least Common Multiples of 701

Related Least Common Multiples of 703

Frequently Asked Questions on LCM of 701 and 703

1. What is the LCM of 701 and 703?

Answer: LCM of 701 and 703 is 492803.

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 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.

4. How to Find the LCM of 701 and 703?

Answer:

Least Common Multiple of 701 and 703 = 492803

Step 1: Find the prime factorization of 701

701 = 701

Step 2: Find the prime factorization of 703

703 = 19 x 37

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

LCM = 492803 = 19 x 37 x 701

Step 4: Therefore, the least common multiple of 701 and 703 is 492803.