Least Common Multiple of 697 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 697 and 701 the smallest integer that is 488597 that is divisible by both numbers.

Least Common Multiple (LCM) of 697 and 701 is 488597.

LCM(697,701) = 488597

LCM of 697 and 701

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

LCM of:
and

Least Common Multiple of 697 and 701

LCM of 697 and 701 is 488597

Least common multiple can be found by multiplying the highest exponent prime factors of 697 and 701. First we will calculate the prime factors of 697 and 701.

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

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 697 and 701.

LCM(697,701) = 171×411×7011
LCM(697,701) = 488597

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Factors of 701

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

1, 701

Least Common Multiple of 697 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 697 and 701, than apply into the LCM equation.

GCF(697,701) = 1
LCM(697,701) = ( 697 × 701) / 1
LCM(697,701) = 488597 / 1
LCM(697,701) = 488597

Properties of LCM 697 and 701

(i) The LCM of 701 and 697 is associative

LCM of 697 and 701 = LCM of 701 and 697

Related Least Common Multiples of 697

Related Least Common Multiples of 701

Frequently Asked Questions on LCM of 697 and 701

1. What is the LCM of 697 and 701?

Answer: LCM of 697 and 701 is 488597.

2. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

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 697 and 701?

Answer:

Least Common Multiple of 697 and 701 = 488597

Step 1: Find the prime factorization of 697

697 = 17 x 41

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 = 488597 = 17 x 41 x 701

Step 4: Therefore, the least common multiple of 697 and 701 is 488597.