Least Common Multiple of 698 and 705

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 705 the smallest integer that is 492090 that is divisible by both numbers.

Least Common Multiple (LCM) of 698 and 705 is 492090.

LCM(698,705) = 492090

LCM of 698 and 705

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

LCM of:
and

Least Common Multiple of 698 and 705

LCM of 698 and 705 is 492090

Least common multiple can be found by multiplying the highest exponent prime factors of 698 and 705. First we will calculate the prime factors of 698 and 705.

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 705


3 705
5 235
47 47
1

Prime factors of 705 are 3, 5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 698 and 705.

LCM(698,705) = 21×31×51×471×3491
LCM(698,705) = 492090

Factors of 698

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

1, 2, 349, 698

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Least Common Multiple of 698 and 705 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 705, than apply into the LCM equation.

GCF(698,705) = 1
LCM(698,705) = ( 698 × 705) / 1
LCM(698,705) = 492090 / 1
LCM(698,705) = 492090

Properties of LCM 698 and 705

(i) The LCM of 705 and 698 is associative

LCM of 698 and 705 = LCM of 705 and 698

Related Least Common Multiples of 698

Related Least Common Multiples of 705

Frequently Asked Questions on LCM of 698 and 705

1. What is the LCM of 698 and 705?

Answer: LCM of 698 and 705 is 492090.

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 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

4. How to Find the LCM of 698 and 705?

Answer:

Least Common Multiple of 698 and 705 = 492090

Step 1: Find the prime factorization of 698

698 = 2 x 349

Step 2: Find the prime factorization of 705

705 = 3 x 5 x 47

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

LCM = 492090 = 2 x 3 x 5 x 47 x 349

Step 4: Therefore, the least common multiple of 698 and 705 is 492090.