Least Common Multiple of 699 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 699 and 701 the smallest integer that is 489999 that is divisible by both numbers.

Least Common Multiple (LCM) of 699 and 701 is 489999.

LCM(699,701) = 489999

LCM of 699 and 701

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

LCM of:
and

Least Common Multiple of 699 and 701

LCM of 699 and 701 is 489999

Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 701. First we will calculate the prime factors of 699 and 701.

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

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 699 and 701.

LCM(699,701) = 31×2331×7011
LCM(699,701) = 489999

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Factors of 701

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

1, 701

Least Common Multiple of 699 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 699 and 701, than apply into the LCM equation.

GCF(699,701) = 1
LCM(699,701) = ( 699 × 701) / 1
LCM(699,701) = 489999 / 1
LCM(699,701) = 489999

Properties of LCM 699 and 701

(i) The LCM of 701 and 699 is associative

LCM of 699 and 701 = LCM of 701 and 699

Related Least Common Multiples of 699

Related Least Common Multiples of 701

Frequently Asked Questions on LCM of 699 and 701

1. What is the LCM of 699 and 701?

Answer: LCM of 699 and 701 is 489999.

2. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

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 699 and 701?

Answer:

Least Common Multiple of 699 and 701 = 489999

Step 1: Find the prime factorization of 699

699 = 3 x 233

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 = 489999 = 3 x 233 x 701

Step 4: Therefore, the least common multiple of 699 and 701 is 489999.