Least Common Multiple of 698 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 698 and 700 the smallest integer that is 244300 that is divisible by both numbers.

Least Common Multiple (LCM) of 698 and 700 is 244300.

LCM(698,700) = 244300

LCM of 698 and 700

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

LCM of:
and

Least Common Multiple of 698 and 700

LCM of 698 and 700 is 244300

Least common multiple can be found by multiplying the highest exponent prime factors of 698 and 700. First we will calculate the prime factors of 698 and 700.

Prime Factorization of 698


2 698
349 349
1

Prime factors of 698 are 2,349. Prime factorization of 698 in exponential form is:

698 = 21×3491

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 698 and 700.

LCM(698,700) = 22×52×71×3491
LCM(698,700) = 244300

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 698 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 698 and 700, than apply into the LCM equation.

GCF(698,700) = 2
LCM(698,700) = ( 698 × 700) / 2
LCM(698,700) = 488600 / 2
LCM(698,700) = 244300

Properties of LCM 698 and 700

(i) The LCM of 700 and 698 is associative

LCM of 698 and 700 = LCM of 700 and 698

Related Least Common Multiples of 698

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 698 and 700

1. What is the LCM of 698 and 700?

Answer: LCM of 698 and 700 is 244300.

2. What are the Factors of 698?

Answer: Factors of 698 are 1, 2, 349, 698. There are 4 integers that are factors of 698. The greatest factor of 698 is 698.

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 698 and 700?

Answer:

Least Common Multiple of 698 and 700 = 244300

Step 1: Find the prime factorization of 698

698 = 2 x 349

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 = 244300 = 2 x 2 x 5 x 5 x 7 x 349

Step 4: Therefore, the least common multiple of 698 and 700 is 244300.