Least Common Multiple of 688 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 688 and 696 the smallest integer that is 59856 that is divisible by both numbers.

Least Common Multiple (LCM) of 688 and 696 is 59856.

LCM(688,696) = 59856

LCM of 688 and 696

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

LCM of:
and

Least Common Multiple of 688 and 696

LCM of 688 and 696 is 59856

Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 696. First we will calculate the prime factors of 688 and 696.

Prime Factorization of 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

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 688 and 696.

LCM(688,696) = 24×31×291×431
LCM(688,696) = 59856

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 688 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 688 and 696, than apply into the LCM equation.

GCF(688,696) = 8
LCM(688,696) = ( 688 × 696) / 8
LCM(688,696) = 478848 / 8
LCM(688,696) = 59856

Properties of LCM 688 and 696

(i) The LCM of 696 and 688 is associative

LCM of 688 and 696 = LCM of 696 and 688

Related Least Common Multiples of 688

Related Least Common Multiples of 696

Frequently Asked Questions on LCM of 688 and 696

1. What is the LCM of 688 and 696?

Answer: LCM of 688 and 696 is 59856.

2. What are the Factors of 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

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 688 and 696?

Answer:

Least Common Multiple of 688 and 696 = 59856

Step 1: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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 = 59856 = 2 x 2 x 2 x 2 x 3 x 29 x 43

Step 4: Therefore, the least common multiple of 688 and 696 is 59856.