Least Common Multiple of 698 and 704

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 704 the smallest integer that is 245696 that is divisible by both numbers.

Least Common Multiple (LCM) of 698 and 704 is 245696.

LCM(698,704) = 245696

LCM of 698 and 704

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

LCM of:
and

Least Common Multiple of 698 and 704

LCM of 698 and 704 is 245696

Least common multiple can be found by multiplying the highest exponent prime factors of 698 and 704. First we will calculate the prime factors of 698 and 704.

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 704


2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 704 are 2,11. Prime factorization of 704 in exponential form is:

704 = 26×111

Now multiplying the highest exponent prime factors to calculate the LCM of 698 and 704.

LCM(698,704) = 26×111×3491
LCM(698,704) = 245696

Factors of 698

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

1, 2, 349, 698

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Least Common Multiple of 698 and 704 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 704, than apply into the LCM equation.

GCF(698,704) = 2
LCM(698,704) = ( 698 × 704) / 2
LCM(698,704) = 491392 / 2
LCM(698,704) = 245696

Properties of LCM 698 and 704

(i) The LCM of 704 and 698 is associative

LCM of 698 and 704 = LCM of 704 and 698

Related Least Common Multiples of 698

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 698 and 704

1. What is the LCM of 698 and 704?

Answer: LCM of 698 and 704 is 245696.

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 704?

Answer: Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 integers that are factors of 704. The greatest factor of 704 is 704.

4. How to Find the LCM of 698 and 704?

Answer:

Least Common Multiple of 698 and 704 = 245696

Step 1: Find the prime factorization of 698

698 = 2 x 349

Step 2: Find the prime factorization of 704

704 = 2 x 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 245696 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 349

Step 4: Therefore, the least common multiple of 698 and 704 is 245696.