Least Common Multiple of 694 and 696

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 696 the smallest integer that is 241512 that is divisible by both numbers.

Least Common Multiple (LCM) of 694 and 696 is 241512.

LCM(694,696) = 241512

LCM of 694 and 696

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

LCM of:
and

Least Common Multiple of 694 and 696

LCM of 694 and 696 is 241512

Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 696. First we will calculate the prime factors of 694 and 696.

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 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2, 3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 694 and 696.

LCM(694,696) = 23×31×291×3471
LCM(694,696) = 241512

Factors of 694

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

1, 2, 347, 694

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Least Common Multiple of 694 and 696 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 696, than apply into the LCM equation.

GCF(694,696) = 2
LCM(694,696) = ( 694 × 696) / 2
LCM(694,696) = 483024 / 2
LCM(694,696) = 241512

Properties of LCM 694 and 696

(i) The LCM of 696 and 694 is associative

LCM of 694 and 696 = LCM of 696 and 694

Related Least Common Multiples of 694

Related Least Common Multiples of 696

Frequently Asked Questions on LCM of 694 and 696

1. What is the LCM of 694 and 696?

Answer: LCM of 694 and 696 is 241512.

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 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

4. How to Find the LCM of 694 and 696?

Answer:

Least Common Multiple of 694 and 696 = 241512

Step 1: Find the prime factorization of 694

694 = 2 x 347

Step 2: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

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

LCM = 241512 = 2 x 2 x 2 x 3 x 29 x 347

Step 4: Therefore, the least common multiple of 694 and 696 is 241512.