Least Common Multiple of 694 and 698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 694 and 698 the smallest integer that is 242206 that is divisible by both numbers.

Least Common Multiple (LCM) of 694 and 698 is 242206.

LCM(694,698) = 242206

LCM of 694 and 698

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

LCM of:
and

Least Common Multiple of 694 and 698

LCM of 694 and 698 is 242206

Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 698. First we will calculate the prime factors of 694 and 698.

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 694 and 698.

LCM(694,698) = 21×3471×3491
LCM(694,698) = 242206

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Factors of 698

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

1, 2, 349, 698

Least Common Multiple of 694 and 698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 694 and 698, than apply into the LCM equation.

GCF(694,698) = 2
LCM(694,698) = ( 694 × 698) / 2
LCM(694,698) = 484412 / 2
LCM(694,698) = 242206

Properties of LCM 694 and 698

(i) The LCM of 698 and 694 is associative

LCM of 694 and 698 = LCM of 698 and 694

Related Least Common Multiples of 694

Related Least Common Multiples of 698

Frequently Asked Questions on LCM of 694 and 698

1. What is the LCM of 694 and 698?

Answer: LCM of 694 and 698 is 242206.

2. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

3. 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.

4. How to Find the LCM of 694 and 698?

Answer:

Least Common Multiple of 694 and 698 = 242206

Step 1: Find the prime factorization of 694

694 = 2 x 347

Step 2: Find the prime factorization of 698

698 = 2 x 349

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

LCM = 242206 = 2 x 347 x 349

Step 4: Therefore, the least common multiple of 694 and 698 is 242206.