Least Common Multiple of 698 and 699

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 699 the smallest integer that is 487902 that is divisible by both numbers.

Least Common Multiple (LCM) of 698 and 699 is 487902.

LCM(698,699) = 487902

LCM of 698 and 699

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

LCM of:
and

Least Common Multiple of 698 and 699

LCM of 698 and 699 is 487902

Least common multiple can be found by multiplying the highest exponent prime factors of 698 and 699. First we will calculate the prime factors of 698 and 699.

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 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 698 and 699.

LCM(698,699) = 21×31×2331×3491
LCM(698,699) = 487902

Factors of 698

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

1, 2, 349, 698

Factors of 699

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

1, 3, 233, 699

Least Common Multiple of 698 and 699 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 699, than apply into the LCM equation.

GCF(698,699) = 1
LCM(698,699) = ( 698 × 699) / 1
LCM(698,699) = 487902 / 1
LCM(698,699) = 487902

Properties of LCM 698 and 699

(i) The LCM of 699 and 698 is associative

LCM of 698 and 699 = LCM of 699 and 698

Related Least Common Multiples of 698

Related Least Common Multiples of 699

Frequently Asked Questions on LCM of 698 and 699

1. What is the LCM of 698 and 699?

Answer: LCM of 698 and 699 is 487902.

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 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.

4. How to Find the LCM of 698 and 699?

Answer:

Least Common Multiple of 698 and 699 = 487902

Step 1: Find the prime factorization of 698

698 = 2 x 349

Step 2: Find the prime factorization of 699

699 = 3 x 233

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

LCM = 487902 = 2 x 3 x 233 x 349

Step 4: Therefore, the least common multiple of 698 and 699 is 487902.