Least Common Multiple of 698 and 702

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 702 the smallest integer that is 244998 that is divisible by both numbers.

Least Common Multiple (LCM) of 698 and 702 is 244998.

LCM(698,702) = 244998

LCM of 698 and 702

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

LCM of:
and

Least Common Multiple of 698 and 702

LCM of 698 and 702 is 244998

Least common multiple can be found by multiplying the highest exponent prime factors of 698 and 702. First we will calculate the prime factors of 698 and 702.

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 702


2 702
3 351
3 117
3 39
13 13
1

Prime factors of 702 are 2, 3,13. Prime factorization of 702 in exponential form is:

702 = 21×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 698 and 702.

LCM(698,702) = 21×33×131×3491
LCM(698,702) = 244998

Factors of 698

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

1, 2, 349, 698

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Least Common Multiple of 698 and 702 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 702, than apply into the LCM equation.

GCF(698,702) = 2
LCM(698,702) = ( 698 × 702) / 2
LCM(698,702) = 489996 / 2
LCM(698,702) = 244998

Properties of LCM 698 and 702

(i) The LCM of 702 and 698 is associative

LCM of 698 and 702 = LCM of 702 and 698

Related Least Common Multiples of 698

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 698 and 702

1. What is the LCM of 698 and 702?

Answer: LCM of 698 and 702 is 244998.

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 702?

Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.

4. How to Find the LCM of 698 and 702?

Answer:

Least Common Multiple of 698 and 702 = 244998

Step 1: Find the prime factorization of 698

698 = 2 x 349

Step 2: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

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

LCM = 244998 = 2 x 3 x 3 x 3 x 13 x 349

Step 4: Therefore, the least common multiple of 698 and 702 is 244998.