Least Common Multiple of 701 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 701 and 706 the smallest integer that is 494906 that is divisible by both numbers.

Least Common Multiple (LCM) of 701 and 706 is 494906.

LCM(701,706) = 494906

LCM of 701 and 706

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

LCM of:
and

Least Common Multiple of 701 and 706

LCM of 701 and 706 is 494906

Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 706. First we will calculate the prime factors of 701 and 706.

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 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 701 and 706.

LCM(701,706) = 21×3531×7011
LCM(701,706) = 494906

Factors of 701

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

1, 701

Factors of 706

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

1, 2, 353, 706

Least Common Multiple of 701 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 701 and 706, than apply into the LCM equation.

GCF(701,706) = 1
LCM(701,706) = ( 701 × 706) / 1
LCM(701,706) = 494906 / 1
LCM(701,706) = 494906

Properties of LCM 701 and 706

(i) The LCM of 706 and 701 is associative

LCM of 701 and 706 = LCM of 706 and 701

Related Least Common Multiples of 701

Related Least Common Multiples of 706

Frequently Asked Questions on LCM of 701 and 706

1. What is the LCM of 701 and 706?

Answer: LCM of 701 and 706 is 494906.

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 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 701 and 706?

Answer:

Least Common Multiple of 701 and 706 = 494906

Step 1: Find the prime factorization of 701

701 = 701

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 = 494906 = 2 x 353 x 701

Step 4: Therefore, the least common multiple of 701 and 706 is 494906.