Least Common Multiple of 696 and 701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 696 and 701 the smallest integer that is 487896 that is divisible by both numbers.

Least Common Multiple (LCM) of 696 and 701 is 487896.

LCM(696,701) = 487896

LCM of 696 and 701

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

LCM of:
and

Least Common Multiple of 696 and 701

LCM of 696 and 701 is 487896

Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 701. First we will calculate the prime factors of 696 and 701.

Prime Factorization of 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2, 3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

Prime Factorization of 701


701 701
1

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

701 = 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 701.

LCM(696,701) = 23×31×291×7011
LCM(696,701) = 487896

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Factors of 701

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

1, 701

Least Common Multiple of 696 and 701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 696 and 701, than apply into the LCM equation.

GCF(696,701) = 1
LCM(696,701) = ( 696 × 701) / 1
LCM(696,701) = 487896 / 1
LCM(696,701) = 487896

Properties of LCM 696 and 701

(i) The LCM of 701 and 696 is associative

LCM of 696 and 701 = LCM of 701 and 696

Related Least Common Multiples of 696

Related Least Common Multiples of 701

Frequently Asked Questions on LCM of 696 and 701

1. What is the LCM of 696 and 701?

Answer: LCM of 696 and 701 is 487896.

2. What are the Factors of 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

3. 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.

4. How to Find the LCM of 696 and 701?

Answer:

Least Common Multiple of 696 and 701 = 487896

Step 1: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 701

701 = 701

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

LCM = 487896 = 2 x 2 x 2 x 3 x 29 x 701

Step 4: Therefore, the least common multiple of 696 and 701 is 487896.