Least Common Multiple of 699 and 700

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 700 the smallest integer that is 489300 that is divisible by both numbers.

Least Common Multiple (LCM) of 699 and 700 is 489300.

LCM(699,700) = 489300

LCM of 699 and 700

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

LCM of:
and

Least Common Multiple of 699 and 700

LCM of 699 and 700 is 489300

Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 700. First we will calculate the prime factors of 699 and 700.

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 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 700.

LCM(699,700) = 22×31×52×71×2331
LCM(699,700) = 489300

Factors of 699

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

1, 3, 233, 699

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Least Common Multiple of 699 and 700 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 700, than apply into the LCM equation.

GCF(699,700) = 1
LCM(699,700) = ( 699 × 700) / 1
LCM(699,700) = 489300 / 1
LCM(699,700) = 489300

Properties of LCM 699 and 700

(i) The LCM of 700 and 699 is associative

LCM of 699 and 700 = LCM of 700 and 699

Related Least Common Multiples of 699

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 699 and 700

1. What is the LCM of 699 and 700?

Answer: LCM of 699 and 700 is 489300.

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 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

4. How to Find the LCM of 699 and 700?

Answer:

Least Common Multiple of 699 and 700 = 489300

Step 1: Find the prime factorization of 699

699 = 3 x 233

Step 2: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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

LCM = 489300 = 2 x 2 x 3 x 5 x 5 x 7 x 233

Step 4: Therefore, the least common multiple of 699 and 700 is 489300.