Least Common Multiple of 694 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 694 and 700 the smallest integer that is 242900 that is divisible by both numbers.

Least Common Multiple (LCM) of 694 and 700 is 242900.

LCM(694,700) = 242900

LCM of 694 and 700

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

LCM of:
and

Least Common Multiple of 694 and 700

LCM of 694 and 700 is 242900

Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 700. First we will calculate the prime factors of 694 and 700.

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

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 694 and 700.

LCM(694,700) = 22×52×71×3471
LCM(694,700) = 242900

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 694 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 694 and 700, than apply into the LCM equation.

GCF(694,700) = 2
LCM(694,700) = ( 694 × 700) / 2
LCM(694,700) = 485800 / 2
LCM(694,700) = 242900

Properties of LCM 694 and 700

(i) The LCM of 700 and 694 is associative

LCM of 694 and 700 = LCM of 700 and 694

Related Least Common Multiples of 694

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 694 and 700

1. What is the LCM of 694 and 700?

Answer: LCM of 694 and 700 is 242900.

2. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

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 694 and 700?

Answer:

Least Common Multiple of 694 and 700 = 242900

Step 1: Find the prime factorization of 694

694 = 2 x 347

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 = 242900 = 2 x 2 x 5 x 5 x 7 x 347

Step 4: Therefore, the least common multiple of 694 and 700 is 242900.